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Finding the Third Proportional to 506,622 and 790,605

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Solution

The third proportional to 506,622 and 790,605 is: 1,233,772.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,622 : 790,605 = 790,605 : x
  2. Step 2: Convert to fraction form
    506,622/790,605 = 790,605/x
  3. Step 3: Cross multiply
    506,622x = 790,605 × 790,605
  4. Step 4: Simplify right side
    506,622x = 625,056,266,025
  5. Step 5: Solve for x
    x = 625,056,266,025/506,622
  6. Step 6: Final answer
    x = 1,233,772.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.