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Finding the Third Proportional to 202,871 and 432,880

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Solution

The third proportional to 202,871 and 432,880 is: 923,666.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,871 : 432,880 = 432,880 : x
  2. Step 2: Convert to fraction form
    202,871/432,880 = 432,880/x
  3. Step 3: Cross multiply
    202,871x = 432,880 × 432,880
  4. Step 4: Simplify right side
    202,871x = 187,385,094,400
  5. Step 5: Solve for x
    x = 187,385,094,400/202,871
  6. Step 6: Final answer
    x = 923,666.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.