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Finding the Third Proportional to 566,376 and 857,791.50

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Solution

The third proportional to 566,376 and 857,791.50 is: 1,299,148.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,376 : 857,791.50 = 857,791.50 : x
  2. Step 2: Convert to fraction form
    566,376/857,791.50 = 857,791.50/x
  3. Step 3: Cross multiply
    566,376x = 857,791.50 × 857,791.50
  4. Step 4: Simplify right side
    566,376x = 735,806,257,472.25
  5. Step 5: Solve for x
    x = 735,806,257,472.25/566,376
  6. Step 6: Final answer
    x = 1,299,148.02

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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.