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Finding the Third Proportional to 375,860.25 and 788,626.13

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Solution

The third proportional to 375,860.25 and 788,626.13 is: 1,654,687.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,860.25 : 788,626.13 = 788,626.13 : x
  2. Step 2: Convert to fraction form
    375,860.25/788,626.13 = 788,626.13/x
  3. Step 3: Cross multiply
    375,860.25x = 788,626.13 × 788,626.13
  4. Step 4: Simplify right side
    375,860.25x = 621,931,165,032.52
  5. Step 5: Solve for x
    x = 621,931,165,032.52/375,860.25
  6. Step 6: Final answer
    x = 1,654,687.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.