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Finding the Third Proportional to 314,524,542 and 492,321,105

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Solution

The third proportional to 314,524,542 and 492,321,105 is: 770,623,713.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,524,542 : 492,321,105 = 492,321,105 : x
  2. Step 2: Convert to fraction form
    314,524,542/492,321,105 = 492,321,105/x
  3. Step 3: Cross multiply
    314,524,542x = 492,321,105 × 492,321,105
  4. Step 4: Simplify right side
    314,524,542x = 242,380,070,428,421,024
  5. Step 5: Solve for x
    x = 242,380,070,428,421,024/314,524,542
  6. Step 6: Final answer
    x = 770,623,713.14

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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.