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Finding the Third Proportional to 313,399.13 and 676,674

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Solution

The third proportional to 313,399.13 and 676,674 is: 1,461,036.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,399.13 : 676,674 = 676,674 : x
  2. Step 2: Convert to fraction form
    313,399.13/676,674 = 676,674/x
  3. Step 3: Cross multiply
    313,399.13x = 676,674 × 676,674
  4. Step 4: Simplify right side
    313,399.13x = 457,887,702,276
  5. Step 5: Solve for x
    x = 457,887,702,276/313,399.13
  6. Step 6: Final answer
    x = 1,461,036.95

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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.