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Finding the Third Proportional to 402,290 and 554,158.50

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Solution

The third proportional to 402,290 and 554,158.50 is: 763,358.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,290 : 554,158.50 = 554,158.50 : x
  2. Step 2: Convert to fraction form
    402,290/554,158.50 = 554,158.50/x
  3. Step 3: Cross multiply
    402,290x = 554,158.50 × 554,158.50
  4. Step 4: Simplify right side
    402,290x = 307,091,643,122.25
  5. Step 5: Solve for x
    x = 307,091,643,122.25/402,290
  6. Step 6: Final answer
    x = 763,358.88

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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.