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Finding the Third Proportional to 344,898 and 753,948

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Solution

The third proportional to 344,898 and 753,948 is: 1,648,132.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,898 : 753,948 = 753,948 : x
  2. Step 2: Convert to fraction form
    344,898/753,948 = 753,948/x
  3. Step 3: Cross multiply
    344,898x = 753,948 × 753,948
  4. Step 4: Simplify right side
    344,898x = 568,437,586,704
  5. Step 5: Solve for x
    x = 568,437,586,704/344,898
  6. Step 6: Final answer
    x = 1,648,132.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.