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Finding the Third Proportional to 530,242 and 803,085

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Solution

The third proportional to 530,242 and 803,085 is: 1,216,322.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,242 : 803,085 = 803,085 : x
  2. Step 2: Convert to fraction form
    530,242/803,085 = 803,085/x
  3. Step 3: Cross multiply
    530,242x = 803,085 × 803,085
  4. Step 4: Simplify right side
    530,242x = 644,945,517,225
  5. Step 5: Solve for x
    x = 644,945,517,225/530,242
  6. Step 6: Final answer
    x = 1,216,322.96

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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.