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Finding the Third Proportional to 362,136 and 532,098

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Solution

The third proportional to 362,136 and 532,098 is: 781,828.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,136 : 532,098 = 532,098 : x
  2. Step 2: Convert to fraction form
    362,136/532,098 = 532,098/x
  3. Step 3: Cross multiply
    362,136x = 532,098 × 532,098
  4. Step 4: Simplify right side
    362,136x = 283,128,281,604
  5. Step 5: Solve for x
    x = 283,128,281,604/362,136
  6. Step 6: Final answer
    x = 781,828.60

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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.