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Finding the Third Proportional to 567,812 and 879,056

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Solution

The third proportional to 567,812 and 879,056 is: 1,360,907.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,812 : 879,056 = 879,056 : x
  2. Step 2: Convert to fraction form
    567,812/879,056 = 879,056/x
  3. Step 3: Cross multiply
    567,812x = 879,056 × 879,056
  4. Step 4: Simplify right side
    567,812x = 772,739,451,136
  5. Step 5: Solve for x
    x = 772,739,451,136/567,812
  6. Step 6: Final answer
    x = 1,360,907.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.