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Finding the Third Proportional to 185,658 and 392,484

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Solution

The third proportional to 185,658 and 392,484 is: 829,717.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,658 : 392,484 = 392,484 : x
  2. Step 2: Convert to fraction form
    185,658/392,484 = 392,484/x
  3. Step 3: Cross multiply
    185,658x = 392,484 × 392,484
  4. Step 4: Simplify right side
    185,658x = 154,043,690,256
  5. Step 5: Solve for x
    x = 154,043,690,256/185,658
  6. Step 6: Final answer
    x = 829,717.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.