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Finding the Third Proportional to 566,056 and 836,124

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Solution

The third proportional to 566,056 and 836,124 is: 1,235,042.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,056 : 836,124 = 836,124 : x
  2. Step 2: Convert to fraction form
    566,056/836,124 = 836,124/x
  3. Step 3: Cross multiply
    566,056x = 836,124 × 836,124
  4. Step 4: Simplify right side
    566,056x = 699,103,343,376
  5. Step 5: Solve for x
    x = 699,103,343,376/566,056
  6. Step 6: Final answer
    x = 1,235,042.72

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.