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Finding the Third Proportional to 508,806 and 791,226

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Solution

The third proportional to 508,806 and 791,226 is: 1,230,407.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,806 : 791,226 = 791,226 : x
  2. Step 2: Convert to fraction form
    508,806/791,226 = 791,226/x
  3. Step 3: Cross multiply
    508,806x = 791,226 × 791,226
  4. Step 4: Simplify right side
    508,806x = 626,038,583,076
  5. Step 5: Solve for x
    x = 626,038,583,076/508,806
  6. Step 6: Final answer
    x = 1,230,407.23

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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.