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Finding the Third Proportional to 284,320,998 and 436,827,789

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Solution

The third proportional to 284,320,998 and 436,827,789 is: 671,137,617.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,320,998 : 436,827,789 = 436,827,789 : x
  2. Step 2: Convert to fraction form
    284,320,998/436,827,789 = 436,827,789/x
  3. Step 3: Cross multiply
    284,320,998x = 436,827,789 × 436,827,789
  4. Step 4: Simplify right side
    284,320,998x = 190,818,517,242,628,512
  5. Step 5: Solve for x
    x = 190,818,517,242,628,512/284,320,998
  6. Step 6: Final answer
    x = 671,137,617.64

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Why These Related Problems?

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