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Finding the Third Proportional to 587,301.75 and 1,282,464

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Solution

The third proportional to 587,301.75 and 1,282,464 is: 2,800,458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,301.75 : 1,282,464 = 1,282,464 : x
  2. Step 2: Convert to fraction form
    587,301.75/1,282,464 = 1,282,464/x
  3. Step 3: Cross multiply
    587,301.75x = 1,282,464 × 1,282,464
  4. Step 4: Simplify right side
    587,301.75x = 1,644,713,911,296
  5. Step 5: Solve for x
    x = 1,644,713,911,296/587,301.75
  6. Step 6: Final answer
    x = 2,800,458.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.