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Finding the Third Proportional to 562,765 and 842,600

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Solution

The third proportional to 562,765 and 842,600 is: 1,261,583.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,765 : 842,600 = 842,600 : x
  2. Step 2: Convert to fraction form
    562,765/842,600 = 842,600/x
  3. Step 3: Cross multiply
    562,765x = 842,600 × 842,600
  4. Step 4: Simplify right side
    562,765x = 709,974,760,000
  5. Step 5: Solve for x
    x = 709,974,760,000/562,765
  6. Step 6: Final answer
    x = 1,261,583.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.