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Finding the Third Proportional to 442,897.50 and 687,108

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Solution

The third proportional to 442,897.50 and 687,108 is: 1,065,974.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,897.50 : 687,108 = 687,108 : x
  2. Step 2: Convert to fraction form
    442,897.50/687,108 = 687,108/x
  3. Step 3: Cross multiply
    442,897.50x = 687,108 × 687,108
  4. Step 4: Simplify right side
    442,897.50x = 472,117,403,664
  5. Step 5: Solve for x
    x = 472,117,403,664/442,897.50
  6. Step 6: Final answer
    x = 1,065,974.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.