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Finding the Third Proportional to 287,581 and 604,900

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Solution

The third proportional to 287,581 and 604,900 is: 1,272,351.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,581 : 604,900 = 604,900 : x
  2. Step 2: Convert to fraction form
    287,581/604,900 = 604,900/x
  3. Step 3: Cross multiply
    287,581x = 604,900 × 604,900
  4. Step 4: Simplify right side
    287,581x = 365,904,010,000
  5. Step 5: Solve for x
    x = 365,904,010,000/287,581
  6. Step 6: Final answer
    x = 1,272,351.13

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.