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Finding the Third Proportional to 334,947 and 722,370

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Solution

The third proportional to 334,947 and 722,370 is: 1,557,913.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,947 : 722,370 = 722,370 : x
  2. Step 2: Convert to fraction form
    334,947/722,370 = 722,370/x
  3. Step 3: Cross multiply
    334,947x = 722,370 × 722,370
  4. Step 4: Simplify right side
    334,947x = 521,818,416,900
  5. Step 5: Solve for x
    x = 521,818,416,900/334,947
  6. Step 6: Final answer
    x = 1,557,913.39

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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.