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Finding the Third Proportional to 506,624 and 790,608

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Solution

The third proportional to 506,624 and 790,608 is: 1,233,776.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,624 : 790,608 = 790,608 : x
  2. Step 2: Convert to fraction form
    506,624/790,608 = 790,608/x
  3. Step 3: Cross multiply
    506,624x = 790,608 × 790,608
  4. Step 4: Simplify right side
    506,624x = 625,061,009,664
  5. Step 5: Solve for x
    x = 625,061,009,664/506,624
  6. Step 6: Final answer
    x = 1,233,776.94

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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.