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Finding the Third Proportional to 314,524,549.13 and 492,321,115.13

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Solution

The third proportional to 314,524,549.13 and 492,321,115.13 is: 770,623,727.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,524,549.13 : 492,321,115.13 = 492,321,115.13 : x
  2. Step 2: Convert to fraction form
    314,524,549.13/492,321,115.13 = 492,321,115.13/x
  3. Step 3: Cross multiply
    314,524,549.13x = 492,321,115.13 × 492,321,115.13
  4. Step 4: Simplify right side
    314,524,549.13x = 242,380,080,397,923,488
  5. Step 5: Solve for x
    x = 242,380,080,397,923,488/314,524,549.13
  6. Step 6: Final answer
    x = 770,623,727.38

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