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Finding the Third Proportional to 284,320,990 and 436,827,777

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Solution

The third proportional to 284,320,990 and 436,827,777 is: 671,137,599.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,320,990 : 436,827,777 = 436,827,777 : x
  2. Step 2: Convert to fraction form
    284,320,990/436,827,777 = 436,827,777/x
  3. Step 3: Cross multiply
    284,320,990x = 436,827,777 × 436,827,777
  4. Step 4: Simplify right side
    284,320,990x = 190,818,506,758,761,728
  5. Step 5: Solve for x
    x = 190,818,506,758,761,728/284,320,990
  6. Step 6: Final answer
    x = 671,137,599.65

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.