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Finding the Third Proportional to 587,160 and 816,996

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Solution

The third proportional to 587,160 and 816,996 is: 1,136,798.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,160 : 816,996 = 816,996 : x
  2. Step 2: Convert to fraction form
    587,160/816,996 = 816,996/x
  3. Step 3: Cross multiply
    587,160x = 816,996 × 816,996
  4. Step 4: Simplify right side
    587,160x = 667,482,464,016
  5. Step 5: Solve for x
    x = 667,482,464,016/587,160
  6. Step 6: Final answer
    x = 1,136,798.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.