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Finding the Third Proportional to 584,570.67 and 1,256,158.13

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Solution

The third proportional to 584,570.67 and 1,256,158.13 is: 2,699,302.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,570.67 : 1,256,158.13 = 1,256,158.13 : x
  2. Step 2: Convert to fraction form
    584,570.67/1,256,158.13 = 1,256,158.13/x
  3. Step 3: Cross multiply
    584,570.67x = 1,256,158.13 × 1,256,158.13
  4. Step 4: Simplify right side
    584,570.67x = 1,577,933,235,003.52
  5. Step 5: Solve for x
    x = 1,577,933,235,003.52/584,570.67
  6. Step 6: Final answer
    x = 2,699,302.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.