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Finding the Third Proportional to 344,311.88 and 749,595.38

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Solution

The third proportional to 344,311.88 and 749,595.38 is: 1,631,931.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,311.88 : 749,595.38 = 749,595.38 : x
  2. Step 2: Convert to fraction form
    344,311.88/749,595.38 = 749,595.38/x
  3. Step 3: Cross multiply
    344,311.88x = 749,595.38 × 749,595.38
  4. Step 4: Simplify right side
    344,311.88x = 561,893,226,221.39
  5. Step 5: Solve for x
    x = 561,893,226,221.39/344,311.88
  6. Step 6: Final answer
    x = 1,631,931.01

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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.