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Finding the Third Proportional to 362,178 and 771,136

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Solution

The third proportional to 362,178 and 771,136 is: 1,641,874.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,178 : 771,136 = 771,136 : x
  2. Step 2: Convert to fraction form
    362,178/771,136 = 771,136/x
  3. Step 3: Cross multiply
    362,178x = 771,136 × 771,136
  4. Step 4: Simplify right side
    362,178x = 594,650,730,496
  5. Step 5: Solve for x
    x = 594,650,730,496/362,178
  6. Step 6: Final answer
    x = 1,641,874.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.