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Finding the Third Proportional to 349,584 and 534,564

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Solution

The third proportional to 349,584 and 534,564 is: 817,424.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,584 : 534,564 = 534,564 : x
  2. Step 2: Convert to fraction form
    349,584/534,564 = 534,564/x
  3. Step 3: Cross multiply
    349,584x = 534,564 × 534,564
  4. Step 4: Simplify right side
    349,584x = 285,758,670,096
  5. Step 5: Solve for x
    x = 285,758,670,096/349,584
  6. Step 6: Final answer
    x = 817,424.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.