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Finding the Third Proportional to 375,506 and 581,086

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Solution

The third proportional to 375,506 and 581,086 is: 899,215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,506 : 581,086 = 581,086 : x
  2. Step 2: Convert to fraction form
    375,506/581,086 = 581,086/x
  3. Step 3: Cross multiply
    375,506x = 581,086 × 581,086
  4. Step 4: Simplify right side
    375,506x = 337,660,939,396
  5. Step 5: Solve for x
    x = 337,660,939,396/375,506
  6. Step 6: Final answer
    x = 899,215.83

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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.