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Finding the Third Proportional to 362,323.13 and 561,304.69

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Solution

The third proportional to 362,323.13 and 561,304.69 is: 869,563.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,323.13 : 561,304.69 = 561,304.69 : x
  2. Step 2: Convert to fraction form
    362,323.13/561,304.69 = 561,304.69/x
  3. Step 3: Cross multiply
    362,323.13x = 561,304.69 × 561,304.69
  4. Step 4: Simplify right side
    362,323.13x = 315,062,952,209.47
  5. Step 5: Solve for x
    x = 315,062,952,209.47/362,323.13
  6. Step 6: Final answer
    x = 869,563.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.