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Finding the Third Proportional to 329,023 and 714,422

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Solution

The third proportional to 329,023 and 714,422 is: 1,551,255.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,023 : 714,422 = 714,422 : x
  2. Step 2: Convert to fraction form
    329,023/714,422 = 714,422/x
  3. Step 3: Cross multiply
    329,023x = 714,422 × 714,422
  4. Step 4: Simplify right side
    329,023x = 510,398,794,084
  5. Step 5: Solve for x
    x = 510,398,794,084/329,023
  6. Step 6: Final answer
    x = 1,551,255.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.