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Finding the Third Proportional to 371,880 and 765,772

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Solution

The third proportional to 371,880 and 765,772 is: 1,576,870.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,880 : 765,772 = 765,772 : x
  2. Step 2: Convert to fraction form
    371,880/765,772 = 765,772/x
  3. Step 3: Cross multiply
    371,880x = 765,772 × 765,772
  4. Step 4: Simplify right side
    371,880x = 586,406,755,984
  5. Step 5: Solve for x
    x = 586,406,755,984/371,880
  6. Step 6: Final answer
    x = 1,576,870.92

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.