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Finding the Third Proportional to 344,524.50 and 506,940

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Solution

The third proportional to 344,524.50 and 506,940 is: 745,921.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,524.50 : 506,940 = 506,940 : x
  2. Step 2: Convert to fraction form
    344,524.50/506,940 = 506,940/x
  3. Step 3: Cross multiply
    344,524.50x = 506,940 × 506,940
  4. Step 4: Simplify right side
    344,524.50x = 256,988,163,600
  5. Step 5: Solve for x
    x = 256,988,163,600/344,524.50
  6. Step 6: Final answer
    x = 745,921.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.