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Finding the Third Proportional to 272,527 and 425,343

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Solution

The third proportional to 272,527 and 425,343 is: 663,848.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,527 : 425,343 = 425,343 : x
  2. Step 2: Convert to fraction form
    272,527/425,343 = 425,343/x
  3. Step 3: Cross multiply
    272,527x = 425,343 × 425,343
  4. Step 4: Simplify right side
    272,527x = 180,916,667,649
  5. Step 5: Solve for x
    x = 180,916,667,649/272,527
  6. Step 6: Final answer
    x = 663,848.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.