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Finding the Third Proportional to 407,432 and 896,088

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Solution

The third proportional to 407,432 and 896,088 is: 1,970,816.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,432 : 896,088 = 896,088 : x
  2. Step 2: Convert to fraction form
    407,432/896,088 = 896,088/x
  3. Step 3: Cross multiply
    407,432x = 896,088 × 896,088
  4. Step 4: Simplify right side
    407,432x = 802,973,703,744
  5. Step 5: Solve for x
    x = 802,973,703,744/407,432
  6. Step 6: Final answer
    x = 1,970,816.49

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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.