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Finding the Third Proportional to 530,201 and 803,024

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Solution

The third proportional to 530,201 and 803,024 is: 1,216,232.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,201 : 803,024 = 803,024 : x
  2. Step 2: Convert to fraction form
    530,201/803,024 = 803,024/x
  3. Step 3: Cross multiply
    530,201x = 803,024 × 803,024
  4. Step 4: Simplify right side
    530,201x = 644,847,544,576
  5. Step 5: Solve for x
    x = 644,847,544,576/530,201
  6. Step 6: Final answer
    x = 1,216,232.23

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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.