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Finding the Third Proportional to 332,581 and 729,541

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Solution

The third proportional to 332,581 and 729,541 is: 1,600,302.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,581 : 729,541 = 729,541 : x
  2. Step 2: Convert to fraction form
    332,581/729,541 = 729,541/x
  3. Step 3: Cross multiply
    332,581x = 729,541 × 729,541
  4. Step 4: Simplify right side
    332,581x = 532,230,070,681
  5. Step 5: Solve for x
    x = 532,230,070,681/332,581
  6. Step 6: Final answer
    x = 1,600,302.09

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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.