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Finding the Third Proportional to 464,220 and 737,802

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Solution

The third proportional to 464,220 and 737,802 is: 1,172,615.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,220 : 737,802 = 737,802 : x
  2. Step 2: Convert to fraction form
    464,220/737,802 = 737,802/x
  3. Step 3: Cross multiply
    464,220x = 737,802 × 737,802
  4. Step 4: Simplify right side
    464,220x = 544,351,791,204
  5. Step 5: Solve for x
    x = 544,351,791,204/464,220
  6. Step 6: Final answer
    x = 1,172,615.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.