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Finding the Third Proportional to 365,765 and 881,076

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Solution

The third proportional to 365,765 and 881,076 is: 2,122,387.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,765 : 881,076 = 881,076 : x
  2. Step 2: Convert to fraction form
    365,765/881,076 = 881,076/x
  3. Step 3: Cross multiply
    365,765x = 881,076 × 881,076
  4. Step 4: Simplify right side
    365,765x = 776,294,917,776
  5. Step 5: Solve for x
    x = 776,294,917,776/365,765
  6. Step 6: Final answer
    x = 2,122,387.10

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.