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Finding the Third Proportional to 367,076 and 812,763

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Solution

The third proportional to 367,076 and 812,763 is: 1,799,582.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,076 : 812,763 = 812,763 : x
  2. Step 2: Convert to fraction form
    367,076/812,763 = 812,763/x
  3. Step 3: Cross multiply
    367,076x = 812,763 × 812,763
  4. Step 4: Simplify right side
    367,076x = 660,583,694,169
  5. Step 5: Solve for x
    x = 660,583,694,169/367,076
  6. Step 6: Final answer
    x = 1,799,582.90

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.