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Finding the Third Proportional to 497,233,660.50 and 780,012,882

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Solution

The third proportional to 497,233,660.50 and 780,012,882 is: 1,223,610,033.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,233,660.50 : 780,012,882 = 780,012,882 : x
  2. Step 2: Convert to fraction form
    497,233,660.50/780,012,882 = 780,012,882/x
  3. Step 3: Cross multiply
    497,233,660.50x = 780,012,882 × 780,012,882
  4. Step 4: Simplify right side
    497,233,660.50x = 608,420,096,085,945,984
  5. Step 5: Solve for x
    x = 608,420,096,085,945,984/497,233,660.50
  6. Step 6: Final answer
    x = 1,223,610,033.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.