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Finding the Third Proportional to 273,051,648 and 399,358,692

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Solution

The third proportional to 273,051,648 and 399,358,692 is: 584,092,299.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,051,648 : 399,358,692 = 399,358,692 : x
  2. Step 2: Convert to fraction form
    273,051,648/399,358,692 = 399,358,692/x
  3. Step 3: Cross multiply
    273,051,648x = 399,358,692 × 399,358,692
  4. Step 4: Simplify right side
    273,051,648x = 159,487,364,875,950,848
  5. Step 5: Solve for x
    x = 159,487,364,875,950,848/273,051,648
  6. Step 6: Final answer
    x = 584,092,299.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.