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Finding the Third Proportional to 329,522 and 719,186

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Solution

The third proportional to 329,522 and 719,186 is: 1,569,632.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,522 : 719,186 = 719,186 : x
  2. Step 2: Convert to fraction form
    329,522/719,186 = 719,186/x
  3. Step 3: Cross multiply
    329,522x = 719,186 × 719,186
  4. Step 4: Simplify right side
    329,522x = 517,228,502,596
  5. Step 5: Solve for x
    x = 517,228,502,596/329,522
  6. Step 6: Final answer
    x = 1,569,632.69

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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.