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Finding the Third Proportional to 350,343,240 and 492,734,327

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Solution

The third proportional to 350,343,240 and 492,734,327 is: 692,997,864.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,343,240 : 492,734,327 = 492,734,327 : x
  2. Step 2: Convert to fraction form
    350,343,240/492,734,327 = 492,734,327/x
  3. Step 3: Cross multiply
    350,343,240x = 492,734,327 × 492,734,327
  4. Step 4: Simplify right side
    350,343,240x = 242,787,117,004,142,944
  5. Step 5: Solve for x
    x = 242,787,117,004,142,944/350,343,240
  6. Step 6: Final answer
    x = 692,997,864.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.