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Finding the Third Proportional to 459,742.50 and 907,696.13

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Solution

The third proportional to 459,742.50 and 907,696.13 is: 1,792,116.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,742.50 : 907,696.13 = 907,696.13 : x
  2. Step 2: Convert to fraction form
    459,742.50/907,696.13 = 907,696.13/x
  3. Step 3: Cross multiply
    459,742.50x = 907,696.13 × 907,696.13
  4. Step 4: Simplify right side
    459,742.50x = 823,912,255,340.02
  5. Step 5: Solve for x
    x = 823,912,255,340.02/459,742.50
  6. Step 6: Final answer
    x = 1,792,116.79

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.