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Finding the Third Proportional to 357,229 and 763,588

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Solution

The third proportional to 357,229 and 763,588 is: 1,632,192.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,229 : 763,588 = 763,588 : x
  2. Step 2: Convert to fraction form
    357,229/763,588 = 763,588/x
  3. Step 3: Cross multiply
    357,229x = 763,588 × 763,588
  4. Step 4: Simplify right side
    357,229x = 583,066,633,744
  5. Step 5: Solve for x
    x = 583,066,633,744/357,229
  6. Step 6: Final answer
    x = 1,632,192.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.