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Finding the Third Proportional to 341,706 and 749,229

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Solution

The third proportional to 341,706 and 749,229 is: 1,642,769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,706 : 749,229 = 749,229 : x
  2. Step 2: Convert to fraction form
    341,706/749,229 = 749,229/x
  3. Step 3: Cross multiply
    341,706x = 749,229 × 749,229
  4. Step 4: Simplify right side
    341,706x = 561,344,094,441
  5. Step 5: Solve for x
    x = 561,344,094,441/341,706
  6. Step 6: Final answer
    x = 1,642,769.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.