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Finding the Third Proportional to 375,900.75 and 581,654.25

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Solution

The third proportional to 375,900.75 and 581,654.25 is: 900,029.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,900.75 : 581,654.25 = 581,654.25 : x
  2. Step 2: Convert to fraction form
    375,900.75/581,654.25 = 581,654.25/x
  3. Step 3: Cross multiply
    375,900.75x = 581,654.25 × 581,654.25
  4. Step 4: Simplify right side
    375,900.75x = 338,321,666,543.06
  5. Step 5: Solve for x
    x = 338,321,666,543.06/375,900.75
  6. Step 6: Final answer
    x = 900,029.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.