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Finding the Third Proportional to 549,514.13 and 830,013.75

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Solution

The third proportional to 549,514.13 and 830,013.75 is: 1,253,694.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,514.13 : 830,013.75 = 830,013.75 : x
  2. Step 2: Convert to fraction form
    549,514.13/830,013.75 = 830,013.75/x
  3. Step 3: Cross multiply
    549,514.13x = 830,013.75 × 830,013.75
  4. Step 4: Simplify right side
    549,514.13x = 688,922,825,189.06
  5. Step 5: Solve for x
    x = 688,922,825,189.06/549,514.13
  6. Step 6: Final answer
    x = 1,253,694.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.