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Finding the Third Proportional to 316,754 and 683,020

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Solution

The third proportional to 316,754 and 683,020 is: 1,472,803.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,754 : 683,020 = 683,020 : x
  2. Step 2: Convert to fraction form
    316,754/683,020 = 683,020/x
  3. Step 3: Cross multiply
    316,754x = 683,020 × 683,020
  4. Step 4: Simplify right side
    316,754x = 466,516,320,400
  5. Step 5: Solve for x
    x = 466,516,320,400/316,754
  6. Step 6: Final answer
    x = 1,472,803.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.