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Finding the Third Proportional to 508,652 and 786,362

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Solution

The third proportional to 508,652 and 786,362 is: 1,215,694.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,652 : 786,362 = 786,362 : x
  2. Step 2: Convert to fraction form
    508,652/786,362 = 786,362/x
  3. Step 3: Cross multiply
    508,652x = 786,362 × 786,362
  4. Step 4: Simplify right side
    508,652x = 618,365,195,044
  5. Step 5: Solve for x
    x = 618,365,195,044/508,652
  6. Step 6: Final answer
    x = 1,215,694.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.