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Finding the Third Proportional to 356,448,315 and 567,179,356.50

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Solution

The third proportional to 356,448,315 and 567,179,356.50 is: 902,493,878.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,448,315 : 567,179,356.50 = 567,179,356.50 : x
  2. Step 2: Convert to fraction form
    356,448,315/567,179,356.50 = 567,179,356.50/x
  3. Step 3: Cross multiply
    356,448,315x = 567,179,356.50 × 567,179,356.50
  4. Step 4: Simplify right side
    356,448,315x = 321,692,422,439,754,112
  5. Step 5: Solve for x
    x = 321,692,422,439,754,112/356,448,315
  6. Step 6: Final answer
    x = 902,493,878.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.