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Finding the Third Proportional to 355,577,824 and 534,313,402

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Solution

The third proportional to 355,577,824 and 534,313,402 is: 802,892,622.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,577,824 : 534,313,402 = 534,313,402 : x
  2. Step 2: Convert to fraction form
    355,577,824/534,313,402 = 534,313,402/x
  3. Step 3: Cross multiply
    355,577,824x = 534,313,402 × 534,313,402
  4. Step 4: Simplify right side
    355,577,824x = 285,490,811,556,813,600
  5. Step 5: Solve for x
    x = 285,490,811,556,813,600/355,577,824
  6. Step 6: Final answer
    x = 802,892,622.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.