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Finding the Third Proportional to 402,271.50 and 554,132

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Solution

The third proportional to 402,271.50 and 554,132 is: 763,320.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,271.50 : 554,132 = 554,132 : x
  2. Step 2: Convert to fraction form
    402,271.50/554,132 = 554,132/x
  3. Step 3: Cross multiply
    402,271.50x = 554,132 × 554,132
  4. Step 4: Simplify right side
    402,271.50x = 307,062,273,424
  5. Step 5: Solve for x
    x = 307,062,273,424/402,271.50
  6. Step 6: Final answer
    x = 763,320.97

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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.