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Finding the Third Proportional to 566,377.50 and 857,792.25

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Solution

The third proportional to 566,377.50 and 857,792.25 is: 1,299,146.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,377.50 : 857,792.25 = 857,792.25 : x
  2. Step 2: Convert to fraction form
    566,377.50/857,792.25 = 857,792.25/x
  3. Step 3: Cross multiply
    566,377.50x = 857,792.25 × 857,792.25
  4. Step 4: Simplify right side
    566,377.50x = 735,807,544,160.06
  5. Step 5: Solve for x
    x = 735,807,544,160.06/566,377.50
  6. Step 6: Final answer
    x = 1,299,146.85

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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.