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Finding the Third Proportional to 371,888 and 765,784

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Solution

The third proportional to 371,888 and 765,784 is: 1,576,886.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,888 : 765,784 = 765,784 : x
  2. Step 2: Convert to fraction form
    371,888/765,784 = 765,784/x
  3. Step 3: Cross multiply
    371,888x = 765,784 × 765,784
  4. Step 4: Simplify right side
    371,888x = 586,425,134,656
  5. Step 5: Solve for x
    x = 586,425,134,656/371,888
  6. Step 6: Final answer
    x = 1,576,886.41

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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.