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Finding the Third Proportional to 329,452 and 719,320

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Solution

The third proportional to 329,452 and 719,320 is: 1,570,551.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,452 : 719,320 = 719,320 : x
  2. Step 2: Convert to fraction form
    329,452/719,320 = 719,320/x
  3. Step 3: Cross multiply
    329,452x = 719,320 × 719,320
  4. Step 4: Simplify right side
    329,452x = 517,421,262,400
  5. Step 5: Solve for x
    x = 517,421,262,400/329,452
  6. Step 6: Final answer
    x = 1,570,551.29

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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.