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Finding the Third Proportional to 264,336,860 and 572,598,328

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Solution

The third proportional to 264,336,860 and 572,598,328 is: 1,240,344,782.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,336,860 : 572,598,328 = 572,598,328 : x
  2. Step 2: Convert to fraction form
    264,336,860/572,598,328 = 572,598,328/x
  3. Step 3: Cross multiply
    264,336,860x = 572,598,328 × 572,598,328
  4. Step 4: Simplify right side
    264,336,860x = 327,868,845,228,395,584
  5. Step 5: Solve for x
    x = 327,868,845,228,395,584/264,336,860
  6. Step 6: Final answer
    x = 1,240,344,782.90

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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.