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Finding the Third Proportional to 407,499 and 885,057

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Solution

The third proportional to 407,499 and 885,057 is: 1,922,276.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,499 : 885,057 = 885,057 : x
  2. Step 2: Convert to fraction form
    407,499/885,057 = 885,057/x
  3. Step 3: Cross multiply
    407,499x = 885,057 × 885,057
  4. Step 4: Simplify right side
    407,499x = 783,325,893,249
  5. Step 5: Solve for x
    x = 783,325,893,249/407,499
  6. Step 6: Final answer
    x = 1,922,276.85

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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.