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Finding the Third Proportional to 559,962 and 864,695

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Solution

The third proportional to 559,962 and 864,695 is: 1,335,264.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,962 : 864,695 = 864,695 : x
  2. Step 2: Convert to fraction form
    559,962/864,695 = 864,695/x
  3. Step 3: Cross multiply
    559,962x = 864,695 × 864,695
  4. Step 4: Simplify right side
    559,962x = 747,697,443,025
  5. Step 5: Solve for x
    x = 747,697,443,025/559,962
  6. Step 6: Final answer
    x = 1,335,264.61

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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.