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Finding the Third Proportional to 329,394 and 719,022

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Solution

The third proportional to 329,394 and 719,022 is: 1,569,526.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,394 : 719,022 = 719,022 : x
  2. Step 2: Convert to fraction form
    329,394/719,022 = 719,022/x
  3. Step 3: Cross multiply
    329,394x = 719,022 × 719,022
  4. Step 4: Simplify right side
    329,394x = 516,992,636,484
  5. Step 5: Solve for x
    x = 516,992,636,484/329,394
  6. Step 6: Final answer
    x = 1,569,526.57

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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.