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Finding the Third Proportional to 407,410 and 877,232

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Solution

The third proportional to 407,410 and 877,232 is: 1,888,849.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,410 : 877,232 = 877,232 : x
  2. Step 2: Convert to fraction form
    407,410/877,232 = 877,232/x
  3. Step 3: Cross multiply
    407,410x = 877,232 × 877,232
  4. Step 4: Simplify right side
    407,410x = 769,535,981,824
  5. Step 5: Solve for x
    x = 769,535,981,824/407,410
  6. Step 6: Final answer
    x = 1,888,849.03

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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.