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Finding the Third Proportional to 215,598 and 468,947

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Solution

The third proportional to 215,598 and 468,947 is: 1,020,006.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,598 : 468,947 = 468,947 : x
  2. Step 2: Convert to fraction form
    215,598/468,947 = 468,947/x
  3. Step 3: Cross multiply
    215,598x = 468,947 × 468,947
  4. Step 4: Simplify right side
    215,598x = 219,911,288,809
  5. Step 5: Solve for x
    x = 219,911,288,809/215,598
  6. Step 6: Final answer
    x = 1,020,006.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.