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Finding the Third Proportional to 508,675.50 and 786,395.25

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Solution

The third proportional to 508,675.50 and 786,395.25 is: 1,215,740.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,675.50 : 786,395.25 = 786,395.25 : x
  2. Step 2: Convert to fraction form
    508,675.50/786,395.25 = 786,395.25/x
  3. Step 3: Cross multiply
    508,675.50x = 786,395.25 × 786,395.25
  4. Step 4: Simplify right side
    508,675.50x = 618,417,489,222.56
  5. Step 5: Solve for x
    x = 618,417,489,222.56/508,675.50
  6. Step 6: Final answer
    x = 1,215,740.66

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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.