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Finding the Third Proportional to 407,263.50 and 894,820.50

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Solution

The third proportional to 407,263.50 and 894,820.50 is: 1,966,058.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,263.50 : 894,820.50 = 894,820.50 : x
  2. Step 2: Convert to fraction form
    407,263.50/894,820.50 = 894,820.50/x
  3. Step 3: Cross multiply
    407,263.50x = 894,820.50 × 894,820.50
  4. Step 4: Simplify right side
    407,263.50x = 800,703,727,220.25
  5. Step 5: Solve for x
    x = 800,703,727,220.25/407,263.50
  6. Step 6: Final answer
    x = 1,966,058.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.