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Finding the Third Proportional to 562,622 and 803,974

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Solution

The third proportional to 562,622 and 803,974 is: 1,148,860.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,622 : 803,974 = 803,974 : x
  2. Step 2: Convert to fraction form
    562,622/803,974 = 803,974/x
  3. Step 3: Cross multiply
    562,622x = 803,974 × 803,974
  4. Step 4: Simplify right side
    562,622x = 646,374,192,676
  5. Step 5: Solve for x
    x = 646,374,192,676/562,622
  6. Step 6: Final answer
    x = 1,148,860.50

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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.