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Finding the Third Proportional to 536,058 and 829,278

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Solution

The third proportional to 536,058 and 829,278 is: 1,282,887.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,058 : 829,278 = 829,278 : x
  2. Step 2: Convert to fraction form
    536,058/829,278 = 829,278/x
  3. Step 3: Cross multiply
    536,058x = 829,278 × 829,278
  4. Step 4: Simplify right side
    536,058x = 687,702,001,284
  5. Step 5: Solve for x
    x = 687,702,001,284/536,058
  6. Step 6: Final answer
    x = 1,282,887.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.