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Finding the Third Proportional to 228,000,392 and 478,395,664

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Solution

The third proportional to 228,000,392 and 478,395,664 is: 1,003,780,780.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,000,392 : 478,395,664 = 478,395,664 : x
  2. Step 2: Convert to fraction form
    228,000,392/478,395,664 = 478,395,664/x
  3. Step 3: Cross multiply
    228,000,392x = 478,395,664 × 478,395,664
  4. Step 4: Simplify right side
    228,000,392x = 228,862,411,334,000,896
  5. Step 5: Solve for x
    x = 228,862,411,334,000,896/228,000,392
  6. Step 6: Final answer
    x = 1,003,780,780.05

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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.