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Finding the Third Proportional to 349,347 and 525,771

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Solution

The third proportional to 349,347 and 525,771 is: 791,291.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,347 : 525,771 = 525,771 : x
  2. Step 2: Convert to fraction form
    349,347/525,771 = 525,771/x
  3. Step 3: Cross multiply
    349,347x = 525,771 × 525,771
  4. Step 4: Simplify right side
    349,347x = 276,435,144,441
  5. Step 5: Solve for x
    x = 276,435,144,441/349,347
  6. Step 6: Final answer
    x = 791,291.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.