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Finding the Third Proportional to 549,897.75 and 778,716

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Solution

The third proportional to 549,897.75 and 778,716 is: 1,102,747.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,897.75 : 778,716 = 778,716 : x
  2. Step 2: Convert to fraction form
    549,897.75/778,716 = 778,716/x
  3. Step 3: Cross multiply
    549,897.75x = 778,716 × 778,716
  4. Step 4: Simplify right side
    549,897.75x = 606,398,608,656
  5. Step 5: Solve for x
    x = 606,398,608,656/549,897.75
  6. Step 6: Final answer
    x = 1,102,747.94

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.