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Finding the Third Proportional to 310,523 and 665,314

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Solution

The third proportional to 310,523 and 665,314 is: 1,425,474.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,523 : 665,314 = 665,314 : x
  2. Step 2: Convert to fraction form
    310,523/665,314 = 665,314/x
  3. Step 3: Cross multiply
    310,523x = 665,314 × 665,314
  4. Step 4: Simplify right side
    310,523x = 442,642,718,596
  5. Step 5: Solve for x
    x = 442,642,718,596/310,523
  6. Step 6: Final answer
    x = 1,425,474.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.