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Finding the Third Proportional to 436,239 and 651,753

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Solution

The third proportional to 436,239 and 651,753 is: 973,736.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,239 : 651,753 = 651,753 : x
  2. Step 2: Convert to fraction form
    436,239/651,753 = 651,753/x
  3. Step 3: Cross multiply
    436,239x = 651,753 × 651,753
  4. Step 4: Simplify right side
    436,239x = 424,781,973,009
  5. Step 5: Solve for x
    x = 424,781,973,009/436,239
  6. Step 6: Final answer
    x = 973,736.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.