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Finding the Third Proportional to 264,446,352 and 571,384,656

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Solution

The third proportional to 264,446,352 and 571,384,656 is: 1,234,580,937.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,446,352 : 571,384,656 = 571,384,656 : x
  2. Step 2: Convert to fraction form
    264,446,352/571,384,656 = 571,384,656/x
  3. Step 3: Cross multiply
    264,446,352x = 571,384,656 × 571,384,656
  4. Step 4: Simplify right side
    264,446,352x = 326,480,425,112,238,336
  5. Step 5: Solve for x
    x = 326,480,425,112,238,336/264,446,352
  6. Step 6: Final answer
    x = 1,234,580,937.28

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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.