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Finding the Third Proportional to 596,585.25 and 1,288,477.13

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Solution

The third proportional to 596,585.25 and 1,288,477.13 is: 2,782,793.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,585.25 : 1,288,477.13 = 1,288,477.13 : x
  2. Step 2: Convert to fraction form
    596,585.25/1,288,477.13 = 1,288,477.13/x
  3. Step 3: Cross multiply
    596,585.25x = 1,288,477.13 × 1,288,477.13
  4. Step 4: Simplify right side
    596,585.25x = 1,660,173,301,648.27
  5. Step 5: Solve for x
    x = 1,660,173,301,648.27/596,585.25
  6. Step 6: Final answer
    x = 2,782,793.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.