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Finding the Third Proportional to 412,504 and 656,382

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Solution

The third proportional to 412,504 and 656,382 is: 1,044,444.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,504 : 656,382 = 656,382 : x
  2. Step 2: Convert to fraction form
    412,504/656,382 = 656,382/x
  3. Step 3: Cross multiply
    412,504x = 656,382 × 656,382
  4. Step 4: Simplify right side
    412,504x = 430,837,329,924
  5. Step 5: Solve for x
    x = 430,837,329,924/412,504
  6. Step 6: Final answer
    x = 1,044,444.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.