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Finding the Third Proportional to 492,667,393.50 and 688,778,012.25

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Solution

The third proportional to 492,667,393.50 and 688,778,012.25 is: 962,952,199.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,667,393.50 : 688,778,012.25 = 688,778,012.25 : x
  2. Step 2: Convert to fraction form
    492,667,393.50/688,778,012.25 = 688,778,012.25/x
  3. Step 3: Cross multiply
    492,667,393.50x = 688,778,012.25 × 688,778,012.25
  4. Step 4: Simplify right side
    492,667,393.50x = 474,415,150,159,061,120
  5. Step 5: Solve for x
    x = 474,415,150,159,061,120/492,667,393.50
  6. Step 6: Final answer
    x = 962,952,199.43

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.