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Finding the Third Proportional to 562,362.75 and 803,616.19

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Solution

The third proportional to 562,362.75 and 803,616.19 is: 1,148,367.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,362.75 : 803,616.19 = 803,616.19 : x
  2. Step 2: Convert to fraction form
    562,362.75/803,616.19 = 803,616.19/x
  3. Step 3: Cross multiply
    562,362.75x = 803,616.19 × 803,616.19
  4. Step 4: Simplify right side
    562,362.75x = 645,798,976,812.04
  5. Step 5: Solve for x
    x = 645,798,976,812.04/562,362.75
  6. Step 6: Final answer
    x = 1,148,367.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.