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Finding the Third Proportional to 566,331 and 857,731.50

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Solution

The third proportional to 566,331 and 857,731.50 is: 1,299,069.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,331 : 857,731.50 = 857,731.50 : x
  2. Step 2: Convert to fraction form
    566,331/857,731.50 = 857,731.50/x
  3. Step 3: Cross multiply
    566,331x = 857,731.50 × 857,731.50
  4. Step 4: Simplify right side
    566,331x = 735,703,326,092.25
  5. Step 5: Solve for x
    x = 735,703,326,092.25/566,331
  6. Step 6: Final answer
    x = 1,299,069.49

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Why These Related Problems?

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