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Finding the Third Proportional to 633,959 and 928,179

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Solution

The third proportional to 633,959 and 928,179 is: 1,358,946.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,959 : 928,179 = 928,179 : x
  2. Step 2: Convert to fraction form
    633,959/928,179 = 928,179/x
  3. Step 3: Cross multiply
    633,959x = 928,179 × 928,179
  4. Step 4: Simplify right side
    633,959x = 861,516,256,041
  5. Step 5: Solve for x
    x = 861,516,256,041/633,959
  6. Step 6: Final answer
    x = 1,358,946.33

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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.