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Finding the Third Proportional to 373,047 and 563,116.50

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Solution

The third proportional to 373,047 and 563,116.50 is: 850,027.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,047 : 563,116.50 = 563,116.50 : x
  2. Step 2: Convert to fraction form
    373,047/563,116.50 = 563,116.50/x
  3. Step 3: Cross multiply
    373,047x = 563,116.50 × 563,116.50
  4. Step 4: Simplify right side
    373,047x = 317,100,192,572.25
  5. Step 5: Solve for x
    x = 317,100,192,572.25/373,047
  6. Step 6: Final answer
    x = 850,027.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.