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Finding the Third Proportional to 407,318 and 894,332

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Solution

The third proportional to 407,318 and 894,332 is: 1,963,649.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,318 : 894,332 = 894,332 : x
  2. Step 2: Convert to fraction form
    407,318/894,332 = 894,332/x
  3. Step 3: Cross multiply
    407,318x = 894,332 × 894,332
  4. Step 4: Simplify right side
    407,318x = 799,829,726,224
  5. Step 5: Solve for x
    x = 799,829,726,224/407,318
  6. Step 6: Final answer
    x = 1,963,649.35

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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.