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Finding the Third Proportional to 510,058 and 787,029

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Solution

The third proportional to 510,058 and 787,029 is: 1,214,400.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,058 : 787,029 = 787,029 : x
  2. Step 2: Convert to fraction form
    510,058/787,029 = 787,029/x
  3. Step 3: Cross multiply
    510,058x = 787,029 × 787,029
  4. Step 4: Simplify right side
    510,058x = 619,414,646,841
  5. Step 5: Solve for x
    x = 619,414,646,841/510,058
  6. Step 6: Final answer
    x = 1,214,400.41

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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.