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Finding the Third Proportional to 368,800 and 569,576

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Solution

The third proportional to 368,800 and 569,576 is: 879,655.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,800 : 569,576 = 569,576 : x
  2. Step 2: Convert to fraction form
    368,800/569,576 = 569,576/x
  3. Step 3: Cross multiply
    368,800x = 569,576 × 569,576
  4. Step 4: Simplify right side
    368,800x = 324,416,819,776
  5. Step 5: Solve for x
    x = 324,416,819,776/368,800
  6. Step 6: Final answer
    x = 879,655.15

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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.