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Finding the Third Proportional to 510,059 and 787,033

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Solution

The third proportional to 510,059 and 787,033 is: 1,214,410.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,059 : 787,033 = 787,033 : x
  2. Step 2: Convert to fraction form
    510,059/787,033 = 787,033/x
  3. Step 3: Cross multiply
    510,059x = 787,033 × 787,033
  4. Step 4: Simplify right side
    510,059x = 619,420,943,089
  5. Step 5: Solve for x
    x = 619,420,943,089/510,059
  6. Step 6: Final answer
    x = 1,214,410.38

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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.