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Finding the Third Proportional to 407,629.13 and 885,492

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Solution

The third proportional to 407,629.13 and 885,492 is: 1,923,552.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,629.13 : 885,492 = 885,492 : x
  2. Step 2: Convert to fraction form
    407,629.13/885,492 = 885,492/x
  3. Step 3: Cross multiply
    407,629.13x = 885,492 × 885,492
  4. Step 4: Simplify right side
    407,629.13x = 784,096,082,064
  5. Step 5: Solve for x
    x = 784,096,082,064/407,629.13
  6. Step 6: Final answer
    x = 1,923,552.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.