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Finding the Third Proportional to 298,265 and 631,078

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Solution

The third proportional to 298,265 and 631,078 is: 1,335,253.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,265 : 631,078 = 631,078 : x
  2. Step 2: Convert to fraction form
    298,265/631,078 = 631,078/x
  3. Step 3: Cross multiply
    298,265x = 631,078 × 631,078
  4. Step 4: Simplify right side
    298,265x = 398,259,442,084
  5. Step 5: Solve for x
    x = 398,259,442,084/298,265
  6. Step 6: Final answer
    x = 1,335,253.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.