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Finding the Third Proportional to 565,314 and 809,211

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Solution

The third proportional to 565,314 and 809,211 is: 1,158,334.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,314 : 809,211 = 809,211 : x
  2. Step 2: Convert to fraction form
    565,314/809,211 = 809,211/x
  3. Step 3: Cross multiply
    565,314x = 809,211 × 809,211
  4. Step 4: Simplify right side
    565,314x = 654,822,442,521
  5. Step 5: Solve for x
    x = 654,822,442,521/565,314
  6. Step 6: Final answer
    x = 1,158,334.03

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.