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Finding the Third Proportional to 549,934 and 805,212

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Solution

The third proportional to 549,934 and 805,212 is: 1,178,989.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,934 : 805,212 = 805,212 : x
  2. Step 2: Convert to fraction form
    549,934/805,212 = 805,212/x
  3. Step 3: Cross multiply
    549,934x = 805,212 × 805,212
  4. Step 4: Simplify right side
    549,934x = 648,366,364,944
  5. Step 5: Solve for x
    x = 648,366,364,944/549,934
  6. Step 6: Final answer
    x = 1,178,989.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.