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Finding the Third Proportional to 379,408 and 549,528

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Solution

The third proportional to 379,408 and 549,528 is: 795,926.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,408 : 549,528 = 549,528 : x
  2. Step 2: Convert to fraction form
    379,408/549,528 = 549,528/x
  3. Step 3: Cross multiply
    379,408x = 549,528 × 549,528
  4. Step 4: Simplify right side
    379,408x = 301,981,022,784
  5. Step 5: Solve for x
    x = 301,981,022,784/379,408
  6. Step 6: Final answer
    x = 795,926.87

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.