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Finding the Third Proportional to 570,282.75 and 882,722.25

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Solution

The third proportional to 570,282.75 and 882,722.25 is: 1,366,337.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,282.75 : 882,722.25 = 882,722.25 : x
  2. Step 2: Convert to fraction form
    570,282.75/882,722.25 = 882,722.25/x
  3. Step 3: Cross multiply
    570,282.75x = 882,722.25 × 882,722.25
  4. Step 4: Simplify right side
    570,282.75x = 779,198,570,645.06
  5. Step 5: Solve for x
    x = 779,198,570,645.06/570,282.75
  6. Step 6: Final answer
    x = 1,366,337.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.