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Finding the Third Proportional to 379,143 and 824,716

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Solution

The third proportional to 379,143 and 824,716 is: 1,793,931.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,143 : 824,716 = 824,716 : x
  2. Step 2: Convert to fraction form
    379,143/824,716 = 824,716/x
  3. Step 3: Cross multiply
    379,143x = 824,716 × 824,716
  4. Step 4: Simplify right side
    379,143x = 680,156,480,656
  5. Step 5: Solve for x
    x = 680,156,480,656/379,143
  6. Step 6: Final answer
    x = 1,793,931.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.