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Finding the Third Proportional to 362,344 and 532,860

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Solution

The third proportional to 362,344 and 532,860 is: 783,619.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,344 : 532,860 = 532,860 : x
  2. Step 2: Convert to fraction form
    362,344/532,860 = 532,860/x
  3. Step 3: Cross multiply
    362,344x = 532,860 × 532,860
  4. Step 4: Simplify right side
    362,344x = 283,939,779,600
  5. Step 5: Solve for x
    x = 283,939,779,600/362,344
  6. Step 6: Final answer
    x = 783,619.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.