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Finding the Third Proportional to 283,624 and 604,791

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Solution

The third proportional to 283,624 and 604,791 is: 1,289,637.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,624 : 604,791 = 604,791 : x
  2. Step 2: Convert to fraction form
    283,624/604,791 = 604,791/x
  3. Step 3: Cross multiply
    283,624x = 604,791 × 604,791
  4. Step 4: Simplify right side
    283,624x = 365,772,153,681
  5. Step 5: Solve for x
    x = 365,772,153,681/283,624
  6. Step 6: Final answer
    x = 1,289,637.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.