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Finding the Third Proportional to 331,634,734 and 709,856,258

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Solution

The third proportional to 331,634,734 and 709,856,258 is: 1,519,430,431.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,634,734 : 709,856,258 = 709,856,258 : x
  2. Step 2: Convert to fraction form
    331,634,734/709,856,258 = 709,856,258/x
  3. Step 3: Cross multiply
    331,634,734x = 709,856,258 × 709,856,258
  4. Step 4: Simplify right side
    331,634,734x = 503,895,907,021,762,560
  5. Step 5: Solve for x
    x = 503,895,907,021,762,560/331,634,734
  6. Step 6: Final answer
    x = 1,519,430,431.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.