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Finding the Third Proportional to 402,266.50 and 554,124.50

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Solution

The third proportional to 402,266.50 and 554,124.50 is: 763,309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,266.50 : 554,124.50 = 554,124.50 : x
  2. Step 2: Convert to fraction form
    402,266.50/554,124.50 = 554,124.50/x
  3. Step 3: Cross multiply
    402,266.50x = 554,124.50 × 554,124.50
  4. Step 4: Simplify right side
    402,266.50x = 307,053,961,500.25
  5. Step 5: Solve for x
    x = 307,053,961,500.25/402,266.50
  6. Step 6: Final answer
    x = 763,309.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.