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Finding the Third Proportional to 566,080 and 836,160

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Solution

The third proportional to 566,080 and 836,160 is: 1,235,096.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,080 : 836,160 = 836,160 : x
  2. Step 2: Convert to fraction form
    566,080/836,160 = 836,160/x
  3. Step 3: Cross multiply
    566,080x = 836,160 × 836,160
  4. Step 4: Simplify right side
    566,080x = 699,163,545,600
  5. Step 5: Solve for x
    x = 699,163,545,600/566,080
  6. Step 6: Final answer
    x = 1,235,096.71

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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.