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Finding the Third Proportional to 360,864 and 775,488

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Solution

The third proportional to 360,864 and 775,488 is: 1,666,504.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,864 : 775,488 = 775,488 : x
  2. Step 2: Convert to fraction form
    360,864/775,488 = 775,488/x
  3. Step 3: Cross multiply
    360,864x = 775,488 × 775,488
  4. Step 4: Simplify right side
    360,864x = 601,381,638,144
  5. Step 5: Solve for x
    x = 601,381,638,144/360,864
  6. Step 6: Final answer
    x = 1,666,504.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.