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Finding the Third Proportional to 506,322.70 and 1,195,222.78

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Solution

The third proportional to 506,322.70 and 1,195,222.78 is: 2,821,436.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,322.70 : 1,195,222.78 = 1,195,222.78 : x
  2. Step 2: Convert to fraction form
    506,322.70/1,195,222.78 = 1,195,222.78/x
  3. Step 3: Cross multiply
    506,322.70x = 1,195,222.78 × 1,195,222.78
  4. Step 4: Simplify right side
    506,322.70x = 1,428,557,496,818.99
  5. Step 5: Solve for x
    x = 1,428,557,496,818.99/506,322.70
  6. Step 6: Final answer
    x = 2,821,436.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.