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Finding the Third Proportional to 510,054.75 and 787,027

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Solution

The third proportional to 510,054.75 and 787,027 is: 1,214,401.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,054.75 : 787,027 = 787,027 : x
  2. Step 2: Convert to fraction form
    510,054.75/787,027 = 787,027/x
  3. Step 3: Cross multiply
    510,054.75x = 787,027 × 787,027
  4. Step 4: Simplify right side
    510,054.75x = 619,411,498,729
  5. Step 5: Solve for x
    x = 619,411,498,729/510,054.75
  6. Step 6: Final answer
    x = 1,214,401.98

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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.