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Finding the Third Proportional to 305,602 and 722,581

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Solution

The third proportional to 305,602 and 722,581 is: 1,708,507.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,602 : 722,581 = 722,581 : x
  2. Step 2: Convert to fraction form
    305,602/722,581 = 722,581/x
  3. Step 3: Cross multiply
    305,602x = 722,581 × 722,581
  4. Step 4: Simplify right side
    305,602x = 522,123,301,561
  5. Step 5: Solve for x
    x = 522,123,301,561/305,602
  6. Step 6: Final answer
    x = 1,708,507.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.