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Finding the Third Proportional to 334,947 and 652,979.25

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Solution

The third proportional to 334,947 and 652,979.25 is: 1,272,983.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,947 : 652,979.25 = 652,979.25 : x
  2. Step 2: Convert to fraction form
    334,947/652,979.25 = 652,979.25/x
  3. Step 3: Cross multiply
    334,947x = 652,979.25 × 652,979.25
  4. Step 4: Simplify right side
    334,947x = 426,381,900,930.56
  5. Step 5: Solve for x
    x = 426,381,900,930.56/334,947
  6. Step 6: Final answer
    x = 1,272,983.19

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.