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Finding the Third Proportional to 344,304.42 and 749,594.25

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Solution

The third proportional to 344,304.42 and 749,594.25 is: 1,631,961.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,304.42 : 749,594.25 = 749,594.25 : x
  2. Step 2: Convert to fraction form
    344,304.42/749,594.25 = 749,594.25/x
  3. Step 3: Cross multiply
    344,304.42x = 749,594.25 × 749,594.25
  4. Step 4: Simplify right side
    344,304.42x = 561,891,539,633.06
  5. Step 5: Solve for x
    x = 561,891,539,633.06/344,304.42
  6. Step 6: Final answer
    x = 1,631,961.44

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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.