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Finding the Third Proportional to 228,000,384 and 478,395,648

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Solution

The third proportional to 228,000,384 and 478,395,648 is: 1,003,780,748.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,000,384 : 478,395,648 = 478,395,648 : x
  2. Step 2: Convert to fraction form
    228,000,384/478,395,648 = 478,395,648/x
  3. Step 3: Cross multiply
    228,000,384x = 478,395,648 × 478,395,648
  4. Step 4: Simplify right side
    228,000,384x = 228,862,396,025,339,904
  5. Step 5: Solve for x
    x = 228,862,396,025,339,904/228,000,384
  6. Step 6: Final answer
    x = 1,003,780,748.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.