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Finding the Third Proportional to 357,424 and 544,521

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Solution

The third proportional to 357,424 and 544,521 is: 829,555.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,424 : 544,521 = 544,521 : x
  2. Step 2: Convert to fraction form
    357,424/544,521 = 544,521/x
  3. Step 3: Cross multiply
    357,424x = 544,521 × 544,521
  4. Step 4: Simplify right side
    357,424x = 296,503,119,441
  5. Step 5: Solve for x
    x = 296,503,119,441/357,424
  6. Step 6: Final answer
    x = 829,555.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.