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Finding the Third Proportional to 375,894 and 581,787

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Solution

The third proportional to 375,894 and 581,787 is: 900,456.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,894 : 581,787 = 581,787 : x
  2. Step 2: Convert to fraction form
    375,894/581,787 = 581,787/x
  3. Step 3: Cross multiply
    375,894x = 581,787 × 581,787
  4. Step 4: Simplify right side
    375,894x = 338,476,113,369
  5. Step 5: Solve for x
    x = 338,476,113,369/375,894
  6. Step 6: Final answer
    x = 900,456.28

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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.