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Finding the Third Proportional to 407,223 and 876,874.50

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Solution

The third proportional to 407,223 and 876,874.50 is: 1,888,176.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,223 : 876,874.50 = 876,874.50 : x
  2. Step 2: Convert to fraction form
    407,223/876,874.50 = 876,874.50/x
  3. Step 3: Cross multiply
    407,223x = 876,874.50 × 876,874.50
  4. Step 4: Simplify right side
    407,223x = 768,908,888,750.25
  5. Step 5: Solve for x
    x = 768,908,888,750.25/407,223
  6. Step 6: Final answer
    x = 1,888,176.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.