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Finding the Third Proportional to 570,228 and 797,214

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Solution

The third proportional to 570,228 and 797,214 is: 1,114,554.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,228 : 797,214 = 797,214 : x
  2. Step 2: Convert to fraction form
    570,228/797,214 = 797,214/x
  3. Step 3: Cross multiply
    570,228x = 797,214 × 797,214
  4. Step 4: Simplify right side
    570,228x = 635,550,161,796
  5. Step 5: Solve for x
    x = 635,550,161,796/570,228
  6. Step 6: Final answer
    x = 1,114,554.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.