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Finding the Third Proportional to 547,456.50 and 732,298.50

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Solution

The third proportional to 547,456.50 and 732,298.50 is: 979,550.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,456.50 : 732,298.50 = 732,298.50 : x
  2. Step 2: Convert to fraction form
    547,456.50/732,298.50 = 732,298.50/x
  3. Step 3: Cross multiply
    547,456.50x = 732,298.50 × 732,298.50
  4. Step 4: Simplify right side
    547,456.50x = 536,261,093,102.25
  5. Step 5: Solve for x
    x = 536,261,093,102.25/547,456.50
  6. Step 6: Final answer
    x = 979,550.14

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