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Finding the Third Proportional to 262,224 and 565,920

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Solution

The third proportional to 262,224 and 565,920 is: 1,221,343.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,224 : 565,920 = 565,920 : x
  2. Step 2: Convert to fraction form
    262,224/565,920 = 565,920/x
  3. Step 3: Cross multiply
    262,224x = 565,920 × 565,920
  4. Step 4: Simplify right side
    262,224x = 320,265,446,400
  5. Step 5: Solve for x
    x = 320,265,446,400/262,224
  6. Step 6: Final answer
    x = 1,221,343.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.