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Finding the Third Proportional to 202,957 and 438,435

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Solution

The third proportional to 202,957 and 438,435 is: 947,123.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,957 : 438,435 = 438,435 : x
  2. Step 2: Convert to fraction form
    202,957/438,435 = 438,435/x
  3. Step 3: Cross multiply
    202,957x = 438,435 × 438,435
  4. Step 4: Simplify right side
    202,957x = 192,225,249,225
  5. Step 5: Solve for x
    x = 192,225,249,225/202,957
  6. Step 6: Final answer
    x = 947,123.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.