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Finding the Third Proportional to 412,495 and 656,367

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Solution

The third proportional to 412,495 and 656,367 is: 1,044,419.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,495 : 656,367 = 656,367 : x
  2. Step 2: Convert to fraction form
    412,495/656,367 = 656,367/x
  3. Step 3: Cross multiply
    412,495x = 656,367 × 656,367
  4. Step 4: Simplify right side
    412,495x = 430,817,638,689
  5. Step 5: Solve for x
    x = 430,817,638,689/412,495
  6. Step 6: Final answer
    x = 1,044,419.06

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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.