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Finding the Third Proportional to 341,709 and 749,235

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Solution

The third proportional to 341,709 and 749,235 is: 1,642,781.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,709 : 749,235 = 749,235 : x
  2. Step 2: Convert to fraction form
    341,709/749,235 = 749,235/x
  3. Step 3: Cross multiply
    341,709x = 749,235 × 749,235
  4. Step 4: Simplify right side
    341,709x = 561,353,085,225
  5. Step 5: Solve for x
    x = 561,353,085,225/341,709
  6. Step 6: Final answer
    x = 1,642,781.10

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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.