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Finding the Third Proportional to 503,103.75 and 747,810

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Solution

The third proportional to 503,103.75 and 747,810 is: 1,111,539.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,103.75 : 747,810 = 747,810 : x
  2. Step 2: Convert to fraction form
    503,103.75/747,810 = 747,810/x
  3. Step 3: Cross multiply
    503,103.75x = 747,810 × 747,810
  4. Step 4: Simplify right side
    503,103.75x = 559,219,796,100
  5. Step 5: Solve for x
    x = 559,219,796,100/503,103.75
  6. Step 6: Final answer
    x = 1,111,539.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.