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Finding the Third Proportional to 373,670 and 817,478

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Solution

The third proportional to 373,670 and 817,478 is: 1,788,396.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,670 : 817,478 = 817,478 : x
  2. Step 2: Convert to fraction form
    373,670/817,478 = 817,478/x
  3. Step 3: Cross multiply
    373,670x = 817,478 × 817,478
  4. Step 4: Simplify right side
    373,670x = 668,270,280,484
  5. Step 5: Solve for x
    x = 668,270,280,484/373,670
  6. Step 6: Final answer
    x = 1,788,396.93

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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.