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Finding the Third Proportional to 613,339.59 and 1,257,285.80

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Solution

The third proportional to 613,339.59 and 1,257,285.80 is: 2,577,312.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,339.59 : 1,257,285.80 = 1,257,285.80 : x
  2. Step 2: Convert to fraction form
    613,339.59/1,257,285.80 = 1,257,285.80/x
  3. Step 3: Cross multiply
    613,339.59x = 1,257,285.80 × 1,257,285.80
  4. Step 4: Simplify right side
    613,339.59x = 1,580,767,575,023.60
  5. Step 5: Solve for x
    x = 1,580,767,575,023.60/613,339.59
  6. Step 6: Final answer
    x = 2,577,312.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.