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Finding the Third Proportional to 448,724,176 and 689,295,275

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Solution

The third proportional to 448,724,176 and 689,295,275 is: 1,058,841,937.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,724,176 : 689,295,275 = 689,295,275 : x
  2. Step 2: Convert to fraction form
    448,724,176/689,295,275 = 689,295,275/x
  3. Step 3: Cross multiply
    448,724,176x = 689,295,275 × 689,295,275
  4. Step 4: Simplify right side
    448,724,176x = 475,127,976,137,325,632
  5. Step 5: Solve for x
    x = 475,127,976,137,325,632/448,724,176
  6. Step 6: Final answer
    x = 1,058,841,937.99

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