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Finding the Third Proportional to 354,755 and 761,998

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Solution

The third proportional to 354,755 and 761,998 is: 1,636,737.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,755 : 761,998 = 761,998 : x
  2. Step 2: Convert to fraction form
    354,755/761,998 = 761,998/x
  3. Step 3: Cross multiply
    354,755x = 761,998 × 761,998
  4. Step 4: Simplify right side
    354,755x = 580,640,952,004
  5. Step 5: Solve for x
    x = 580,640,952,004/354,755
  6. Step 6: Final answer
    x = 1,636,737.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.