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Finding the Third Proportional to 362,484 and 533,034

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Solution

The third proportional to 362,484 and 533,034 is: 783,828.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,484 : 533,034 = 533,034 : x
  2. Step 2: Convert to fraction form
    362,484/533,034 = 533,034/x
  3. Step 3: Cross multiply
    362,484x = 533,034 × 533,034
  4. Step 4: Simplify right side
    362,484x = 284,125,245,156
  5. Step 5: Solve for x
    x = 284,125,245,156/362,484
  6. Step 6: Final answer
    x = 783,828.38

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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.