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Finding the Third Proportional to 329,184 and 709,632

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Solution

The third proportional to 329,184 and 709,632 is: 1,529,775.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,184 : 709,632 = 709,632 : x
  2. Step 2: Convert to fraction form
    329,184/709,632 = 709,632/x
  3. Step 3: Cross multiply
    329,184x = 709,632 × 709,632
  4. Step 4: Simplify right side
    329,184x = 503,577,575,424
  5. Step 5: Solve for x
    x = 503,577,575,424/329,184
  6. Step 6: Final answer
    x = 1,529,775.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.