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Finding the Third Proportional to 530,202 and 803,025

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Solution

The third proportional to 530,202 and 803,025 is: 1,216,232.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,202 : 803,025 = 803,025 : x
  2. Step 2: Convert to fraction form
    530,202/803,025 = 803,025/x
  3. Step 3: Cross multiply
    530,202x = 803,025 × 803,025
  4. Step 4: Simplify right side
    530,202x = 644,849,150,625
  5. Step 5: Solve for x
    x = 644,849,150,625/530,202
  6. Step 6: Final answer
    x = 1,216,232.97

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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.