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Finding the Third Proportional to 261,565 and 370,217

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Solution

The third proportional to 261,565 and 370,217 is: 524,002.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,565 : 370,217 = 370,217 : x
  2. Step 2: Convert to fraction form
    261,565/370,217 = 370,217/x
  3. Step 3: Cross multiply
    261,565x = 370,217 × 370,217
  4. Step 4: Simplify right side
    261,565x = 137,060,627,089
  5. Step 5: Solve for x
    x = 137,060,627,089/261,565
  6. Step 6: Final answer
    x = 524,002.17

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.