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Finding the Third Proportional to 341,758 and 749,330

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Solution

The third proportional to 341,758 and 749,330 is: 1,642,962.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,758 : 749,330 = 749,330 : x
  2. Step 2: Convert to fraction form
    341,758/749,330 = 749,330/x
  3. Step 3: Cross multiply
    341,758x = 749,330 × 749,330
  4. Step 4: Simplify right side
    341,758x = 561,495,448,900
  5. Step 5: Solve for x
    x = 561,495,448,900/341,758
  6. Step 6: Final answer
    x = 1,642,962.12

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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.