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Finding the Third Proportional to 461,952 and 686,179.50

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Solution

The third proportional to 461,952 and 686,179.50 is: 1,019,245.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,952 : 686,179.50 = 686,179.50 : x
  2. Step 2: Convert to fraction form
    461,952/686,179.50 = 686,179.50/x
  3. Step 3: Cross multiply
    461,952x = 686,179.50 × 686,179.50
  4. Step 4: Simplify right side
    461,952x = 470,842,306,220.25
  5. Step 5: Solve for x
    x = 470,842,306,220.25/461,952
  6. Step 6: Final answer
    x = 1,019,245.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.