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Finding the Third Proportional to 566,391 and 874,977

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Solution

The third proportional to 566,391 and 874,977 is: 1,351,689.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,391 : 874,977 = 874,977 : x
  2. Step 2: Convert to fraction form
    566,391/874,977 = 874,977/x
  3. Step 3: Cross multiply
    566,391x = 874,977 × 874,977
  4. Step 4: Simplify right side
    566,391x = 765,584,750,529
  5. Step 5: Solve for x
    x = 765,584,750,529/566,391
  6. Step 6: Final answer
    x = 1,351,689.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.