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Finding the Third Proportional to 263,110 and 578,706

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Solution

The third proportional to 263,110 and 578,706 is: 1,272,854.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,110 : 578,706 = 578,706 : x
  2. Step 2: Convert to fraction form
    263,110/578,706 = 578,706/x
  3. Step 3: Cross multiply
    263,110x = 578,706 × 578,706
  4. Step 4: Simplify right side
    263,110x = 334,900,634,436
  5. Step 5: Solve for x
    x = 334,900,634,436/263,110
  6. Step 6: Final answer
    x = 1,272,854.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.