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Finding the Third Proportional to 327,508 and 710,312

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Solution

The third proportional to 327,508 and 710,312 is: 1,540,552.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,508 : 710,312 = 710,312 : x
  2. Step 2: Convert to fraction form
    327,508/710,312 = 710,312/x
  3. Step 3: Cross multiply
    327,508x = 710,312 × 710,312
  4. Step 4: Simplify right side
    327,508x = 504,543,137,344
  5. Step 5: Solve for x
    x = 504,543,137,344/327,508
  6. Step 6: Final answer
    x = 1,540,552.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.