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Finding the Third Proportional to 362,496 and 532,641

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Solution

The third proportional to 362,496 and 532,641 is: 782,647.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,496 : 532,641 = 532,641 : x
  2. Step 2: Convert to fraction form
    362,496/532,641 = 532,641/x
  3. Step 3: Cross multiply
    362,496x = 532,641 × 532,641
  4. Step 4: Simplify right side
    362,496x = 283,706,434,881
  5. Step 5: Solve for x
    x = 283,706,434,881/362,496
  6. Step 6: Final answer
    x = 782,647.08

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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.