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Finding the Third Proportional to 583,272 and 1,257,588

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Solution

The third proportional to 583,272 and 1,257,588 is: 2,711,475.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,272 : 1,257,588 = 1,257,588 : x
  2. Step 2: Convert to fraction form
    583,272/1,257,588 = 1,257,588/x
  3. Step 3: Cross multiply
    583,272x = 1,257,588 × 1,257,588
  4. Step 4: Simplify right side
    583,272x = 1,581,527,577,744
  5. Step 5: Solve for x
    x = 1,581,527,577,744/583,272
  6. Step 6: Final answer
    x = 2,711,475.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.