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Finding the Third Proportional to 350,343,236 and 492,734,321

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Solution

The third proportional to 350,343,236 and 492,734,321 is: 692,997,855.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,343,236 : 492,734,321 = 492,734,321 : x
  2. Step 2: Convert to fraction form
    350,343,236/492,734,321 = 492,734,321/x
  3. Step 3: Cross multiply
    350,343,236x = 492,734,321 × 492,734,321
  4. Step 4: Simplify right side
    350,343,236x = 242,787,111,091,331,040
  5. Step 5: Solve for x
    x = 242,787,111,091,331,040/350,343,236
  6. Step 6: Final answer
    x = 692,997,855.08

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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.