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Finding the Third Proportional to 329,024 and 714,424

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Solution

The third proportional to 329,024 and 714,424 is: 1,551,259.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,024 : 714,424 = 714,424 : x
  2. Step 2: Convert to fraction form
    329,024/714,424 = 714,424/x
  3. Step 3: Cross multiply
    329,024x = 714,424 × 714,424
  4. Step 4: Simplify right side
    329,024x = 510,401,651,776
  5. Step 5: Solve for x
    x = 510,401,651,776/329,024
  6. Step 6: Final answer
    x = 1,551,259.64

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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.