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Finding the Third Proportional to 330,924 and 714,338

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Solution

The third proportional to 330,924 and 714,338 is: 1,541,981.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,924 : 714,338 = 714,338 : x
  2. Step 2: Convert to fraction form
    330,924/714,338 = 714,338/x
  3. Step 3: Cross multiply
    330,924x = 714,338 × 714,338
  4. Step 4: Simplify right side
    330,924x = 510,278,778,244
  5. Step 5: Solve for x
    x = 510,278,778,244/330,924
  6. Step 6: Final answer
    x = 1,541,981.78

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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.