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Finding the Third Proportional to 342,000 and 748,368

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Solution

The third proportional to 342,000 and 748,368 is: 1,637,586.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,000 : 748,368 = 748,368 : x
  2. Step 2: Convert to fraction form
    342,000/748,368 = 748,368/x
  3. Step 3: Cross multiply
    342,000x = 748,368 × 748,368
  4. Step 4: Simplify right side
    342,000x = 560,054,663,424
  5. Step 5: Solve for x
    x = 560,054,663,424/342,000
  6. Step 6: Final answer
    x = 1,637,586.74

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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.