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Finding the Third Proportional to 314,534,374 and 492,336,251

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Solution

The third proportional to 314,534,374 and 492,336,251 is: 770,647,039.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,534,374 : 492,336,251 = 492,336,251 : x
  2. Step 2: Convert to fraction form
    314,534,374/492,336,251 = 492,336,251/x
  3. Step 3: Cross multiply
    314,534,374x = 492,336,251 × 492,336,251
  4. Step 4: Simplify right side
    314,534,374x = 242,394,984,048,735,008
  5. Step 5: Solve for x
    x = 242,394,984,048,735,008/314,534,374
  6. Step 6: Final answer
    x = 770,647,039.20

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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.