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Finding the Third Proportional to 296,788,617 and 395,673,237

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Solution

The third proportional to 296,788,617 and 395,673,237 is: 527,504,430.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,788,617 : 395,673,237 = 395,673,237 : x
  2. Step 2: Convert to fraction form
    296,788,617/395,673,237 = 395,673,237/x
  3. Step 3: Cross multiply
    296,788,617x = 395,673,237 × 395,673,237
  4. Step 4: Simplify right side
    296,788,617x = 156,557,310,478,058,176
  5. Step 5: Solve for x
    x = 156,557,310,478,058,176/296,788,617
  6. Step 6: Final answer
    x = 527,504,430.80

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.