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Finding the Third Proportional to 342,124 and 750,344

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Solution

The third proportional to 342,124 and 750,344 is: 1,645,649.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,124 : 750,344 = 750,344 : x
  2. Step 2: Convert to fraction form
    342,124/750,344 = 750,344/x
  3. Step 3: Cross multiply
    342,124x = 750,344 × 750,344
  4. Step 4: Simplify right side
    342,124x = 563,016,118,336
  5. Step 5: Solve for x
    x = 563,016,118,336/342,124
  6. Step 6: Final answer
    x = 1,645,649.29

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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.