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Finding the Third Proportional to 570,289.13 and 882,733.13

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Solution

The third proportional to 570,289.13 and 882,733.13 is: 1,366,355.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,289.13 : 882,733.13 = 882,733.13 : x
  2. Step 2: Convert to fraction form
    570,289.13/882,733.13 = 882,733.13/x
  3. Step 3: Cross multiply
    570,289.13x = 882,733.13 × 882,733.13
  4. Step 4: Simplify right side
    570,289.13x = 779,217,769,972.27
  5. Step 5: Solve for x
    x = 779,217,769,972.27/570,289.13
  6. Step 6: Final answer
    x = 1,366,355.65

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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.