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Finding the Third Proportional to 402,299 and 554,171.50

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Solution

The third proportional to 402,299 and 554,171.50 is: 763,377.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,299 : 554,171.50 = 554,171.50 : x
  2. Step 2: Convert to fraction form
    402,299/554,171.50 = 554,171.50/x
  3. Step 3: Cross multiply
    402,299x = 554,171.50 × 554,171.50
  4. Step 4: Simplify right side
    402,299x = 307,106,051,412.25
  5. Step 5: Solve for x
    x = 307,106,051,412.25/402,299
  6. Step 6: Final answer
    x = 763,377.62

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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.