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Finding the Third Proportional to 506,633 and 790,623

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Solution

The third proportional to 506,633 and 790,623 is: 1,233,801.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,633 : 790,623 = 790,623 : x
  2. Step 2: Convert to fraction form
    506,633/790,623 = 790,623/x
  3. Step 3: Cross multiply
    506,633x = 790,623 × 790,623
  4. Step 4: Simplify right side
    506,633x = 625,084,728,129
  5. Step 5: Solve for x
    x = 625,084,728,129/506,633
  6. Step 6: Final answer
    x = 1,233,801.84

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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.