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Finding the Third Proportional to 354,146 and 532,563

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Solution

The third proportional to 354,146 and 532,563 is: 800,865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,146 : 532,563 = 532,563 : x
  2. Step 2: Convert to fraction form
    354,146/532,563 = 532,563/x
  3. Step 3: Cross multiply
    354,146x = 532,563 × 532,563
  4. Step 4: Simplify right side
    354,146x = 283,623,348,969
  5. Step 5: Solve for x
    x = 283,623,348,969/354,146
  6. Step 6: Final answer
    x = 800,865.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.