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Finding the Third Proportional to 566,372 and 857,786

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Solution

The third proportional to 566,372 and 857,786 is: 1,299,140.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,372 : 857,786 = 857,786 : x
  2. Step 2: Convert to fraction form
    566,372/857,786 = 857,786/x
  3. Step 3: Cross multiply
    566,372x = 857,786 × 857,786
  4. Step 4: Simplify right side
    566,372x = 735,796,821,796
  5. Step 5: Solve for x
    x = 735,796,821,796/566,372
  6. Step 6: Final answer
    x = 1,299,140.53

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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.