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Finding the Third Proportional to 566,390 and 874,976

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Solution

The third proportional to 566,390 and 874,976 is: 1,351,688.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,390 : 874,976 = 874,976 : x
  2. Step 2: Convert to fraction form
    566,390/874,976 = 874,976/x
  3. Step 3: Cross multiply
    566,390x = 874,976 × 874,976
  4. Step 4: Simplify right side
    566,390x = 765,583,000,576
  5. Step 5: Solve for x
    x = 765,583,000,576/566,390
  6. Step 6: Final answer
    x = 1,351,688.77

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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.