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Finding the Third Proportional to 532,864 and 802,816

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Solution

The third proportional to 532,864 and 802,816 is: 1,209,527.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,864 : 802,816 = 802,816 : x
  2. Step 2: Convert to fraction form
    532,864/802,816 = 802,816/x
  3. Step 3: Cross multiply
    532,864x = 802,816 × 802,816
  4. Step 4: Simplify right side
    532,864x = 644,513,529,856
  5. Step 5: Solve for x
    x = 644,513,529,856/532,864
  6. Step 6: Final answer
    x = 1,209,527.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.