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Finding the Third Proportional to 287,448 and 604,665

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Solution

The third proportional to 287,448 and 604,665 is: 1,271,950.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,448 : 604,665 = 604,665 : x
  2. Step 2: Convert to fraction form
    287,448/604,665 = 604,665/x
  3. Step 3: Cross multiply
    287,448x = 604,665 × 604,665
  4. Step 4: Simplify right side
    287,448x = 365,619,762,225
  5. Step 5: Solve for x
    x = 365,619,762,225/287,448
  6. Step 6: Final answer
    x = 1,271,950.97

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Why These Related Problems?

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