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Finding the Third Proportional to 514,407 and 801,058.50

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Solution

The third proportional to 514,407 and 801,058.50 is: 1,247,445.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,407 : 801,058.50 = 801,058.50 : x
  2. Step 2: Convert to fraction form
    514,407/801,058.50 = 801,058.50/x
  3. Step 3: Cross multiply
    514,407x = 801,058.50 × 801,058.50
  4. Step 4: Simplify right side
    514,407x = 641,694,720,422.25
  5. Step 5: Solve for x
    x = 641,694,720,422.25/514,407
  6. Step 6: Final answer
    x = 1,247,445.54

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.