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Finding the Third Proportional to 431,336 and 941,776

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Solution

The third proportional to 431,336 and 941,776 is: 2,056,267.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,336 : 941,776 = 941,776 : x
  2. Step 2: Convert to fraction form
    431,336/941,776 = 941,776/x
  3. Step 3: Cross multiply
    431,336x = 941,776 × 941,776
  4. Step 4: Simplify right side
    431,336x = 886,942,034,176
  5. Step 5: Solve for x
    x = 886,942,034,176/431,336
  6. Step 6: Final answer
    x = 2,056,267.12

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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.