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Finding the Third Proportional to 264,446,384 and 571,384,720

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Solution

The third proportional to 264,446,384 and 571,384,720 is: 1,234,581,064.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,446,384 : 571,384,720 = 571,384,720 : x
  2. Step 2: Convert to fraction form
    264,446,384/571,384,720 = 571,384,720/x
  3. Step 3: Cross multiply
    264,446,384x = 571,384,720 × 571,384,720
  4. Step 4: Simplify right side
    264,446,384x = 326,480,498,249,478,400
  5. Step 5: Solve for x
    x = 326,480,498,249,478,400/264,446,384
  6. Step 6: Final answer
    x = 1,234,581,064.45

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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.