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Finding the Third Proportional to 282,006 and 431,946

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Solution

The third proportional to 282,006 and 431,946 is: 661,607.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,006 : 431,946 = 431,946 : x
  2. Step 2: Convert to fraction form
    282,006/431,946 = 431,946/x
  3. Step 3: Cross multiply
    282,006x = 431,946 × 431,946
  4. Step 4: Simplify right side
    282,006x = 186,577,346,916
  5. Step 5: Solve for x
    x = 186,577,346,916/282,006
  6. Step 6: Final answer
    x = 661,607.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.