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Finding the Third Proportional to 314,669,062 and 492,532,920

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Solution

The third proportional to 314,669,062 and 492,532,920 is: 770,932,724.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,669,062 : 492,532,920 = 492,532,920 : x
  2. Step 2: Convert to fraction form
    314,669,062/492,532,920 = 492,532,920/x
  3. Step 3: Cross multiply
    314,669,062x = 492,532,920 × 492,532,920
  4. Step 4: Simplify right side
    314,669,062x = 242,588,677,283,726,400
  5. Step 5: Solve for x
    x = 242,588,677,283,726,400/314,669,062
  6. Step 6: Final answer
    x = 770,932,724.50

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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.