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Finding the Third Proportional to 585,216 and 1,257,727.50

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Solution

The third proportional to 585,216 and 1,257,727.50 is: 2,703,067.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,216 : 1,257,727.50 = 1,257,727.50 : x
  2. Step 2: Convert to fraction form
    585,216/1,257,727.50 = 1,257,727.50/x
  3. Step 3: Cross multiply
    585,216x = 1,257,727.50 × 1,257,727.50
  4. Step 4: Simplify right side
    585,216x = 1,581,878,464,256.25
  5. Step 5: Solve for x
    x = 1,581,878,464,256.25/585,216
  6. Step 6: Final answer
    x = 2,703,067.70

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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.