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Finding the Third Proportional to 375,613 and 581,644

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Solution

The third proportional to 375,613 and 581,644 is: 900,686.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,613 : 581,644 = 581,644 : x
  2. Step 2: Convert to fraction form
    375,613/581,644 = 581,644/x
  3. Step 3: Cross multiply
    375,613x = 581,644 × 581,644
  4. Step 4: Simplify right side
    375,613x = 338,309,742,736
  5. Step 5: Solve for x
    x = 338,309,742,736/375,613
  6. Step 6: Final answer
    x = 900,686.99

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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.