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Finding the Third Proportional to 570,327.75 and 1,245,828.38

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Solution

The third proportional to 570,327.75 and 1,245,828.38 is: 2,721,397.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,327.75 : 1,245,828.38 = 1,245,828.38 : x
  2. Step 2: Convert to fraction form
    570,327.75/1,245,828.38 = 1,245,828.38/x
  3. Step 3: Cross multiply
    570,327.75x = 1,245,828.38 × 1,245,828.38
  4. Step 4: Simplify right side
    570,327.75x = 1,552,088,339,955.14
  5. Step 5: Solve for x
    x = 1,552,088,339,955.14/570,327.75
  6. Step 6: Final answer
    x = 2,721,397.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.