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Finding the Third Proportional to 349,226 and 749,428

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Solution

The third proportional to 349,226 and 749,428 is: 1,608,248.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,226 : 749,428 = 749,428 : x
  2. Step 2: Convert to fraction form
    349,226/749,428 = 749,428/x
  3. Step 3: Cross multiply
    349,226x = 749,428 × 749,428
  4. Step 4: Simplify right side
    349,226x = 561,642,327,184
  5. Step 5: Solve for x
    x = 561,642,327,184/349,226
  6. Step 6: Final answer
    x = 1,608,248.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.