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Finding the Third Proportional to 344,169 and 506,124

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Solution

The third proportional to 344,169 and 506,124 is: 744,289.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,169 : 506,124 = 506,124 : x
  2. Step 2: Convert to fraction form
    344,169/506,124 = 506,124/x
  3. Step 3: Cross multiply
    344,169x = 506,124 × 506,124
  4. Step 4: Simplify right side
    344,169x = 256,161,503,376
  5. Step 5: Solve for x
    x = 256,161,503,376/344,169
  6. Step 6: Final answer
    x = 744,289.88

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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.