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Finding the Third Proportional to 316,315.13 and 683,150.63

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Solution

The third proportional to 316,315.13 and 683,150.63 is: 1,475,410.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,315.13 : 683,150.63 = 683,150.63 : x
  2. Step 2: Convert to fraction form
    316,315.13/683,150.63 = 683,150.63/x
  3. Step 3: Cross multiply
    316,315.13x = 683,150.63 × 683,150.63
  4. Step 4: Simplify right side
    316,315.13x = 466,694,776,437.89
  5. Step 5: Solve for x
    x = 466,694,776,437.89/316,315.13
  6. Step 6: Final answer
    x = 1,475,410.88

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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.