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Finding the Third Proportional to 361,760 and 785,776

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Solution

The third proportional to 361,760 and 785,776 is: 1,706,777.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,760 : 785,776 = 785,776 : x
  2. Step 2: Convert to fraction form
    361,760/785,776 = 785,776/x
  3. Step 3: Cross multiply
    361,760x = 785,776 × 785,776
  4. Step 4: Simplify right side
    361,760x = 617,443,922,176
  5. Step 5: Solve for x
    x = 617,443,922,176/361,760
  6. Step 6: Final answer
    x = 1,706,777.76

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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.