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Finding the Third Proportional to 542,685 and 797,767.50

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Solution

The third proportional to 542,685 and 797,767.50 is: 1,172,748.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,685 : 797,767.50 = 797,767.50 : x
  2. Step 2: Convert to fraction form
    542,685/797,767.50 = 797,767.50/x
  3. Step 3: Cross multiply
    542,685x = 797,767.50 × 797,767.50
  4. Step 4: Simplify right side
    542,685x = 636,432,984,056.25
  5. Step 5: Solve for x
    x = 636,432,984,056.25/542,685
  6. Step 6: Final answer
    x = 1,172,748.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.