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Finding the Third Proportional to 264,508,416 and 569,548,800

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Solution

The third proportional to 264,508,416 and 569,548,800 is: 1,226,372,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,508,416 : 569,548,800 = 569,548,800 : x
  2. Step 2: Convert to fraction form
    264,508,416/569,548,800 = 569,548,800/x
  3. Step 3: Cross multiply
    264,508,416x = 569,548,800 × 569,548,800
  4. Step 4: Simplify right side
    264,508,416x = 324,385,835,581,440,000
  5. Step 5: Solve for x
    x = 324,385,835,581,440,000/264,508,416
  6. Step 6: Final answer
    x = 1,226,372,455.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.