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Finding the Third Proportional to 562,622 and 803,972

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Solution

The third proportional to 562,622 and 803,972 is: 1,148,854.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,622 : 803,972 = 803,972 : x
  2. Step 2: Convert to fraction form
    562,622/803,972 = 803,972/x
  3. Step 3: Cross multiply
    562,622x = 803,972 × 803,972
  4. Step 4: Simplify right side
    562,622x = 646,370,976,784
  5. Step 5: Solve for x
    x = 646,370,976,784/562,622
  6. Step 6: Final answer
    x = 1,148,854.78

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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.