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Finding the Third Proportional to 344,068.07 and 743,494.57

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Solution

The third proportional to 344,068.07 and 743,494.57 is: 1,606,612.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,068.07 : 743,494.57 = 743,494.57 : x
  2. Step 2: Convert to fraction form
    344,068.07/743,494.57 = 743,494.57/x
  3. Step 3: Cross multiply
    344,068.07x = 743,494.57 × 743,494.57
  4. Step 4: Simplify right side
    344,068.07x = 552,784,176,084.17
  5. Step 5: Solve for x
    x = 552,784,176,084.17/344,068.07
  6. Step 6: Final answer
    x = 1,606,612.85

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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.