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Finding the Third Proportional to 329,013 and 714,402

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Solution

The third proportional to 329,013 and 714,402 is: 1,551,215.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,013 : 714,402 = 714,402 : x
  2. Step 2: Convert to fraction form
    329,013/714,402 = 714,402/x
  3. Step 3: Cross multiply
    329,013x = 714,402 × 714,402
  4. Step 4: Simplify right side
    329,013x = 510,370,217,604
  5. Step 5: Solve for x
    x = 510,370,217,604/329,013
  6. Step 6: Final answer
    x = 1,551,215.96

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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.