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Finding the Third Proportional to 329,362 and 709,532

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Solution

The third proportional to 329,362 and 709,532 is: 1,528,517.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,362 : 709,532 = 709,532 : x
  2. Step 2: Convert to fraction form
    329,362/709,532 = 709,532/x
  3. Step 3: Cross multiply
    329,362x = 709,532 × 709,532
  4. Step 4: Simplify right side
    329,362x = 503,435,659,024
  5. Step 5: Solve for x
    x = 503,435,659,024/329,362
  6. Step 6: Final answer
    x = 1,528,517.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.