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Finding the Third Proportional to 349,866 and 556,976

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Solution

The third proportional to 349,866 and 556,976 is: 886,688.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,866 : 556,976 = 556,976 : x
  2. Step 2: Convert to fraction form
    349,866/556,976 = 556,976/x
  3. Step 3: Cross multiply
    349,866x = 556,976 × 556,976
  4. Step 4: Simplify right side
    349,866x = 310,222,264,576
  5. Step 5: Solve for x
    x = 310,222,264,576/349,866
  6. Step 6: Final answer
    x = 886,688.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.