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Finding the Third Proportional to 476,952.75 and 668,448

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Solution

The third proportional to 476,952.75 and 668,448 is: 936,828.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,952.75 : 668,448 = 668,448 : x
  2. Step 2: Convert to fraction form
    476,952.75/668,448 = 668,448/x
  3. Step 3: Cross multiply
    476,952.75x = 668,448 × 668,448
  4. Step 4: Simplify right side
    476,952.75x = 446,822,728,704
  5. Step 5: Solve for x
    x = 446,822,728,704/476,952.75
  6. Step 6: Final answer
    x = 936,828.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.