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Finding the Third Proportional to 412,548 and 656,411

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Solution

The third proportional to 412,548 and 656,411 is: 1,044,424.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,548 : 656,411 = 656,411 : x
  2. Step 2: Convert to fraction form
    412,548/656,411 = 656,411/x
  3. Step 3: Cross multiply
    412,548x = 656,411 × 656,411
  4. Step 4: Simplify right side
    412,548x = 430,875,400,921
  5. Step 5: Solve for x
    x = 430,875,400,921/412,548
  6. Step 6: Final answer
    x = 1,044,424.89

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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.