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Finding the Third Proportional to 566,321 and 857,717

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Solution

The third proportional to 566,321 and 857,717 is: 1,299,048.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,321 : 857,717 = 857,717 : x
  2. Step 2: Convert to fraction form
    566,321/857,717 = 857,717/x
  3. Step 3: Cross multiply
    566,321x = 857,717 × 857,717
  4. Step 4: Simplify right side
    566,321x = 735,678,452,089
  5. Step 5: Solve for x
    x = 735,678,452,089/566,321
  6. Step 6: Final answer
    x = 1,299,048.51

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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.