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Finding the Third Proportional to 503,066.25 and 747,761.63

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Solution

The third proportional to 503,066.25 and 747,761.63 is: 1,111,478.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,066.25 : 747,761.63 = 747,761.63 : x
  2. Step 2: Convert to fraction form
    503,066.25/747,761.63 = 747,761.63/x
  3. Step 3: Cross multiply
    503,066.25x = 747,761.63 × 747,761.63
  4. Step 4: Simplify right side
    503,066.25x = 559,147,447,822.64
  5. Step 5: Solve for x
    x = 559,147,447,822.64/503,066.25
  6. Step 6: Final answer
    x = 1,111,478.75

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Why These Related Problems?

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