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Finding the Third Proportional to 202,437 and 429,781

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Solution

The third proportional to 202,437 and 429,781 is: 912,440.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,437 : 429,781 = 429,781 : x
  2. Step 2: Convert to fraction form
    202,437/429,781 = 429,781/x
  3. Step 3: Cross multiply
    202,437x = 429,781 × 429,781
  4. Step 4: Simplify right side
    202,437x = 184,711,707,961
  5. Step 5: Solve for x
    x = 184,711,707,961/202,437
  6. Step 6: Final answer
    x = 912,440.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.