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Finding the Third Proportional to 371,882 and 765,776

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Solution

The third proportional to 371,882 and 765,776 is: 1,576,878.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,882 : 765,776 = 765,776 : x
  2. Step 2: Convert to fraction form
    371,882/765,776 = 765,776/x
  3. Step 3: Cross multiply
    371,882x = 765,776 × 765,776
  4. Step 4: Simplify right side
    371,882x = 586,412,882,176
  5. Step 5: Solve for x
    x = 586,412,882,176/371,882
  6. Step 6: Final answer
    x = 1,576,878.91

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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.