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Finding the Third Proportional to 462,817.13 and 699,159.94

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Solution

The third proportional to 462,817.13 and 699,159.94 is: 1,056,193.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,817.13 : 699,159.94 = 699,159.94 : x
  2. Step 2: Convert to fraction form
    462,817.13/699,159.94 = 699,159.94/x
  3. Step 3: Cross multiply
    462,817.13x = 699,159.94 × 699,159.94
  4. Step 4: Simplify right side
    462,817.13x = 488,824,618,205.00
  5. Step 5: Solve for x
    x = 488,824,618,205.00/462,817.13
  6. Step 6: Final answer
    x = 1,056,193.89

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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.