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Finding the Third Proportional to 339,439,680 and 732,968,244

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Solution

The third proportional to 339,439,680 and 732,968,244 is: 1,582,733,187.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,439,680 : 732,968,244 = 732,968,244 : x
  2. Step 2: Convert to fraction form
    339,439,680/732,968,244 = 732,968,244/x
  3. Step 3: Cross multiply
    339,439,680x = 732,968,244 × 732,968,244
  4. Step 4: Simplify right side
    339,439,680x = 537,242,446,712,443,520
  5. Step 5: Solve for x
    x = 537,242,446,712,443,520/339,439,680
  6. Step 6: Final answer
    x = 1,582,733,187.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.