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Finding the Third Proportional to 520,623 and 786,481

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Solution

The third proportional to 520,623 and 786,481 is: 1,188,100.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,623 : 786,481 = 786,481 : x
  2. Step 2: Convert to fraction form
    520,623/786,481 = 786,481/x
  3. Step 3: Cross multiply
    520,623x = 786,481 × 786,481
  4. Step 4: Simplify right side
    520,623x = 618,552,363,361
  5. Step 5: Solve for x
    x = 618,552,363,361/520,623
  6. Step 6: Final answer
    x = 1,188,100.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.