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Finding the Third Proportional to 448,724,175.75 and 689,295,276.50

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Solution

The third proportional to 448,724,175.75 and 689,295,276.50 is: 1,058,841,943.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,724,175.75 : 689,295,276.50 = 689,295,276.50 : x
  2. Step 2: Convert to fraction form
    448,724,175.75/689,295,276.50 = 689,295,276.50/x
  3. Step 3: Cross multiply
    448,724,175.75x = 689,295,276.50 × 689,295,276.50
  4. Step 4: Simplify right side
    448,724,175.75x = 475,127,978,205,211,456
  5. Step 5: Solve for x
    x = 475,127,978,205,211,456/448,724,175.75
  6. Step 6: Final answer
    x = 1,058,841,943.18

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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.