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Finding the Third Proportional to 448,724,184.75 and 689,295,289.50

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Solution

The third proportional to 448,724,184.75 and 689,295,289.50 is: 1,058,841,961.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,724,184.75 : 689,295,289.50 = 689,295,289.50 : x
  2. Step 2: Convert to fraction form
    448,724,184.75/689,295,289.50 = 689,295,289.50/x
  3. Step 3: Cross multiply
    448,724,184.75x = 689,295,289.50 × 689,295,289.50
  4. Step 4: Simplify right side
    448,724,184.75x = 475,127,996,126,888,832
  5. Step 5: Solve for x
    x = 475,127,996,126,888,832/448,724,184.75
  6. Step 6: Final answer
    x = 1,058,841,961.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.