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Finding the Third Proportional to 202,572 and 444,024

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Solution

The third proportional to 202,572 and 444,024 is: 973,270.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,572 : 444,024 = 444,024 : x
  2. Step 2: Convert to fraction form
    202,572/444,024 = 444,024/x
  3. Step 3: Cross multiply
    202,572x = 444,024 × 444,024
  4. Step 4: Simplify right side
    202,572x = 197,157,312,576
  5. Step 5: Solve for x
    x = 197,157,312,576/202,572
  6. Step 6: Final answer
    x = 973,270.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.