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Finding the Third Proportional to 332,901 and 487,659

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Solution

The third proportional to 332,901 and 487,659 is: 714,360.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,901 : 487,659 = 487,659 : x
  2. Step 2: Convert to fraction form
    332,901/487,659 = 487,659/x
  3. Step 3: Cross multiply
    332,901x = 487,659 × 487,659
  4. Step 4: Simplify right side
    332,901x = 237,811,300,281
  5. Step 5: Solve for x
    x = 237,811,300,281/332,901
  6. Step 6: Final answer
    x = 714,360.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.