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Finding the Third Proportional to 329,652 and 711,864

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Solution

The third proportional to 329,652 and 711,864 is: 1,537,228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,652 : 711,864 = 711,864 : x
  2. Step 2: Convert to fraction form
    329,652/711,864 = 711,864/x
  3. Step 3: Cross multiply
    329,652x = 711,864 × 711,864
  4. Step 4: Simplify right side
    329,652x = 506,750,354,496
  5. Step 5: Solve for x
    x = 506,750,354,496/329,652
  6. Step 6: Final answer
    x = 1,537,228.21

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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.