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Finding the Third Proportional to 314,216.25 and 672,718.13

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Solution

The third proportional to 314,216.25 and 672,718.13 is: 1,440,249.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,216.25 : 672,718.13 = 672,718.13 : x
  2. Step 2: Convert to fraction form
    314,216.25/672,718.13 = 672,718.13/x
  3. Step 3: Cross multiply
    314,216.25x = 672,718.13 × 672,718.13
  4. Step 4: Simplify right side
    314,216.25x = 452,549,675,703.52
  5. Step 5: Solve for x
    x = 452,549,675,703.52/314,216.25
  6. Step 6: Final answer
    x = 1,440,249.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.