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Finding the Third Proportional to 508,580 and 747,310

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Solution

The third proportional to 508,580 and 747,310 is: 1,098,101.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,580 : 747,310 = 747,310 : x
  2. Step 2: Convert to fraction form
    508,580/747,310 = 747,310/x
  3. Step 3: Cross multiply
    508,580x = 747,310 × 747,310
  4. Step 4: Simplify right side
    508,580x = 558,472,236,100
  5. Step 5: Solve for x
    x = 558,472,236,100/508,580
  6. Step 6: Final answer
    x = 1,098,101.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.