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Finding the Third Proportional to 332,563 and 729,506

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Solution

The third proportional to 332,563 and 729,506 is: 1,600,235.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,563 : 729,506 = 729,506 : x
  2. Step 2: Convert to fraction form
    332,563/729,506 = 729,506/x
  3. Step 3: Cross multiply
    332,563x = 729,506 × 729,506
  4. Step 4: Simplify right side
    332,563x = 532,179,004,036
  5. Step 5: Solve for x
    x = 532,179,004,036/332,563
  6. Step 6: Final answer
    x = 1,600,235.16

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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.