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Finding the Third Proportional to 303,257,439 and 433,362,765

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Solution

The third proportional to 303,257,439 and 433,362,765 is: 619,286,658.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,257,439 : 433,362,765 = 433,362,765 : x
  2. Step 2: Convert to fraction form
    303,257,439/433,362,765 = 433,362,765/x
  3. Step 3: Cross multiply
    303,257,439x = 433,362,765 × 433,362,765
  4. Step 4: Simplify right side
    303,257,439x = 187,803,286,088,445,216
  5. Step 5: Solve for x
    x = 187,803,286,088,445,216/303,257,439
  6. Step 6: Final answer
    x = 619,286,658.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.