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Finding the Third Proportional to 587,356.13 and 934,603.88

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Solution

The third proportional to 587,356.13 and 934,603.88 is: 1,487,146.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,356.13 : 934,603.88 = 934,603.88 : x
  2. Step 2: Convert to fraction form
    587,356.13/934,603.88 = 934,603.88/x
  3. Step 3: Cross multiply
    587,356.13x = 934,603.88 × 934,603.88
  4. Step 4: Simplify right side
    587,356.13x = 873,484,403,165.02
  5. Step 5: Solve for x
    x = 873,484,403,165.02/587,356.13
  6. Step 6: Final answer
    x = 1,487,146.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.