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Finding the Third Proportional to 561,103.50 and 847,548

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Solution

The third proportional to 561,103.50 and 847,548 is: 1,280,223.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,103.50 : 847,548 = 847,548 : x
  2. Step 2: Convert to fraction form
    561,103.50/847,548 = 847,548/x
  3. Step 3: Cross multiply
    561,103.50x = 847,548 × 847,548
  4. Step 4: Simplify right side
    561,103.50x = 718,337,612,304
  5. Step 5: Solve for x
    x = 718,337,612,304/561,103.50
  6. Step 6: Final answer
    x = 1,280,223.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.