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Finding the Third Proportional to 314,534,371.50 and 492,336,247.50

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Solution

The third proportional to 314,534,371.50 and 492,336,247.50 is: 770,647,034.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,534,371.50 : 492,336,247.50 = 492,336,247.50 : x
  2. Step 2: Convert to fraction form
    314,534,371.50/492,336,247.50 = 492,336,247.50/x
  3. Step 3: Cross multiply
    314,534,371.50x = 492,336,247.50 × 492,336,247.50
  4. Step 4: Simplify right side
    314,534,371.50x = 242,394,980,602,381,248
  5. Step 5: Solve for x
    x = 242,394,980,602,381,248/314,534,371.50
  6. Step 6: Final answer
    x = 770,647,034.37

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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.