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Finding the Third Proportional to 379,432 and 549,560

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Solution

The third proportional to 379,432 and 549,560 is: 795,969.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,432 : 549,560 = 549,560 : x
  2. Step 2: Convert to fraction form
    379,432/549,560 = 549,560/x
  3. Step 3: Cross multiply
    379,432x = 549,560 × 549,560
  4. Step 4: Simplify right side
    379,432x = 302,016,193,600
  5. Step 5: Solve for x
    x = 302,016,193,600/379,432
  6. Step 6: Final answer
    x = 795,969.22

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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.