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Finding the Third Proportional to 611,058 and 897,875

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Solution

The third proportional to 611,058 and 897,875 is: 1,319,317.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,058 : 897,875 = 897,875 : x
  2. Step 2: Convert to fraction form
    611,058/897,875 = 897,875/x
  3. Step 3: Cross multiply
    611,058x = 897,875 × 897,875
  4. Step 4: Simplify right side
    611,058x = 806,179,515,625
  5. Step 5: Solve for x
    x = 806,179,515,625/611,058
  6. Step 6: Final answer
    x = 1,319,317.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.