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Finding the Third Proportional to 241,412 and 353,478

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Solution

The third proportional to 241,412 and 353,478 is: 517,566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,412 : 353,478 = 353,478 : x
  2. Step 2: Convert to fraction form
    241,412/353,478 = 353,478/x
  3. Step 3: Cross multiply
    241,412x = 353,478 × 353,478
  4. Step 4: Simplify right side
    241,412x = 124,946,696,484
  5. Step 5: Solve for x
    x = 124,946,696,484/241,412
  6. Step 6: Final answer
    x = 517,566.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.