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Finding the Third Proportional to 202,570 and 444,019

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Solution

The third proportional to 202,570 and 444,019 is: 973,258.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,570 : 444,019 = 444,019 : x
  2. Step 2: Convert to fraction form
    202,570/444,019 = 444,019/x
  3. Step 3: Cross multiply
    202,570x = 444,019 × 444,019
  4. Step 4: Simplify right side
    202,570x = 197,152,872,361
  5. Step 5: Solve for x
    x = 197,152,872,361/202,570
  6. Step 6: Final answer
    x = 973,258.00

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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.