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Finding the Third Proportional to 534,006 and 713,335.50

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Solution

The third proportional to 534,006 and 713,335.50 is: 952,887.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,006 : 713,335.50 = 713,335.50 : x
  2. Step 2: Convert to fraction form
    534,006/713,335.50 = 713,335.50/x
  3. Step 3: Cross multiply
    534,006x = 713,335.50 × 713,335.50
  4. Step 4: Simplify right side
    534,006x = 508,847,535,560.25
  5. Step 5: Solve for x
    x = 508,847,535,560.25/534,006
  6. Step 6: Final answer
    x = 952,887.30

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.