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Finding the Third Proportional to 332,298 and 728,931

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Solution

The third proportional to 332,298 and 728,931 is: 1,598,987.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,298 : 728,931 = 728,931 : x
  2. Step 2: Convert to fraction form
    332,298/728,931 = 728,931/x
  3. Step 3: Cross multiply
    332,298x = 728,931 × 728,931
  4. Step 4: Simplify right side
    332,298x = 531,340,402,761
  5. Step 5: Solve for x
    x = 531,340,402,761/332,298
  6. Step 6: Final answer
    x = 1,598,987.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.