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Finding the Third Proportional to 412,774 and 570,363

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Solution

The third proportional to 412,774 and 570,363 is: 788,116.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,774 : 570,363 = 570,363 : x
  2. Step 2: Convert to fraction form
    412,774/570,363 = 570,363/x
  3. Step 3: Cross multiply
    412,774x = 570,363 × 570,363
  4. Step 4: Simplify right side
    412,774x = 325,313,951,769
  5. Step 5: Solve for x
    x = 325,313,951,769/412,774
  6. Step 6: Final answer
    x = 788,116.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.