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Finding the Third Proportional to 367,521 and 791,346

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Solution

The third proportional to 367,521 and 791,346 is: 1,703,925.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,521 : 791,346 = 791,346 : x
  2. Step 2: Convert to fraction form
    367,521/791,346 = 791,346/x
  3. Step 3: Cross multiply
    367,521x = 791,346 × 791,346
  4. Step 4: Simplify right side
    367,521x = 626,228,491,716
  5. Step 5: Solve for x
    x = 626,228,491,716/367,521
  6. Step 6: Final answer
    x = 1,703,925.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.