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Finding the Third Proportional to 344,144.95 and 745,493.63

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Solution

The third proportional to 344,144.95 and 745,493.63 is: 1,614,903.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,144.95 : 745,493.63 = 745,493.63 : x
  2. Step 2: Convert to fraction form
    344,144.95/745,493.63 = 745,493.63/x
  3. Step 3: Cross multiply
    344,144.95x = 745,493.63 × 745,493.63
  4. Step 4: Simplify right side
    344,144.95x = 555,760,744,915.64
  5. Step 5: Solve for x
    x = 555,760,744,915.64/344,144.95
  6. Step 6: Final answer
    x = 1,614,903.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.