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Finding the Third Proportional to 530,224 and 803,058

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Solution

The third proportional to 530,224 and 803,058 is: 1,216,282.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,224 : 803,058 = 803,058 : x
  2. Step 2: Convert to fraction form
    530,224/803,058 = 803,058/x
  3. Step 3: Cross multiply
    530,224x = 803,058 × 803,058
  4. Step 4: Simplify right side
    530,224x = 644,902,151,364
  5. Step 5: Solve for x
    x = 644,902,151,364/530,224
  6. Step 6: Final answer
    x = 1,216,282.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.