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Finding the Third Proportional to 341,370 and 744,948

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Solution

The third proportional to 341,370 and 744,948 is: 1,625,648.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,370 : 744,948 = 744,948 : x
  2. Step 2: Convert to fraction form
    341,370/744,948 = 744,948/x
  3. Step 3: Cross multiply
    341,370x = 744,948 × 744,948
  4. Step 4: Simplify right side
    341,370x = 554,947,522,704
  5. Step 5: Solve for x
    x = 554,947,522,704/341,370
  6. Step 6: Final answer
    x = 1,625,648.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.