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Finding the Third Proportional to 560,116 and 850,530

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Solution

The third proportional to 560,116 and 850,530 is: 1,291,520.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,116 : 850,530 = 850,530 : x
  2. Step 2: Convert to fraction form
    560,116/850,530 = 850,530/x
  3. Step 3: Cross multiply
    560,116x = 850,530 × 850,530
  4. Step 4: Simplify right side
    560,116x = 723,401,280,900
  5. Step 5: Solve for x
    x = 723,401,280,900/560,116
  6. Step 6: Final answer
    x = 1,291,520.47

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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.