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Finding the Third Proportional to 460,552.50 and 996,009

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Solution

The third proportional to 460,552.50 and 996,009 is: 2,154,008.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,552.50 : 996,009 = 996,009 : x
  2. Step 2: Convert to fraction form
    460,552.50/996,009 = 996,009/x
  3. Step 3: Cross multiply
    460,552.50x = 996,009 × 996,009
  4. Step 4: Simplify right side
    460,552.50x = 992,033,928,081
  5. Step 5: Solve for x
    x = 992,033,928,081/460,552.50
  6. Step 6: Final answer
    x = 2,154,008.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.