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Finding the Third Proportional to 333,077,202 and 721,756,392

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Solution

The third proportional to 333,077,202 and 721,756,392 is: 1,563,998,635.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,077,202 : 721,756,392 = 721,756,392 : x
  2. Step 2: Convert to fraction form
    333,077,202/721,756,392 = 721,756,392/x
  3. Step 3: Cross multiply
    333,077,202x = 721,756,392 × 721,756,392
  4. Step 4: Simplify right side
    333,077,202x = 520,932,289,392,857,664
  5. Step 5: Solve for x
    x = 520,932,289,392,857,664/333,077,202
  6. Step 6: Final answer
    x = 1,563,998,635.35

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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.