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Finding the Third Proportional to 436,706 and 662,937

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Solution

The third proportional to 436,706 and 662,937 is: 1,006,364.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,706 : 662,937 = 662,937 : x
  2. Step 2: Convert to fraction form
    436,706/662,937 = 662,937/x
  3. Step 3: Cross multiply
    436,706x = 662,937 × 662,937
  4. Step 4: Simplify right side
    436,706x = 439,485,465,969
  5. Step 5: Solve for x
    x = 439,485,465,969/436,706
  6. Step 6: Final answer
    x = 1,006,364.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.