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Finding the Third Proportional to 560,052 and 850,464

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Solution

The third proportional to 560,052 and 850,464 is: 1,291,467.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,052 : 850,464 = 850,464 : x
  2. Step 2: Convert to fraction form
    560,052/850,464 = 850,464/x
  3. Step 3: Cross multiply
    560,052x = 850,464 × 850,464
  4. Step 4: Simplify right side
    560,052x = 723,289,015,296
  5. Step 5: Solve for x
    x = 723,289,015,296/560,052
  6. Step 6: Final answer
    x = 1,291,467.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.