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Finding the Third Proportional to 303,257,598.75 and 433,362,989.25

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Solution

The third proportional to 303,257,598.75 and 433,362,989.25 is: 619,286,973.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,257,598.75 : 433,362,989.25 = 433,362,989.25 : x
  2. Step 2: Convert to fraction form
    303,257,598.75/433,362,989.25 = 433,362,989.25/x
  3. Step 3: Cross multiply
    303,257,598.75x = 433,362,989.25 × 433,362,989.25
  4. Step 4: Simplify right side
    303,257,598.75x = 187,803,480,451,695,616
  5. Step 5: Solve for x
    x = 187,803,480,451,695,616/303,257,598.75
  6. Step 6: Final answer
    x = 619,286,973.27

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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.