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Finding the Third Proportional to 264,336,874 and 572,598,356

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Solution

The third proportional to 264,336,874 and 572,598,356 is: 1,240,344,838.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,336,874 : 572,598,356 = 572,598,356 : x
  2. Step 2: Convert to fraction form
    264,336,874/572,598,356 = 572,598,356/x
  3. Step 3: Cross multiply
    264,336,874x = 572,598,356 × 572,598,356
  4. Step 4: Simplify right side
    264,336,874x = 327,868,877,293,902,720
  5. Step 5: Solve for x
    x = 327,868,877,293,902,720/264,336,874
  6. Step 6: Final answer
    x = 1,240,344,838.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.