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Finding the Third Proportional to 566,374 and 857,789

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Solution

The third proportional to 566,374 and 857,789 is: 1,299,145.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,374 : 857,789 = 857,789 : x
  2. Step 2: Convert to fraction form
    566,374/857,789 = 857,789/x
  3. Step 3: Cross multiply
    566,374x = 857,789 × 857,789
  4. Step 4: Simplify right side
    566,374x = 735,801,968,521
  5. Step 5: Solve for x
    x = 735,801,968,521/566,374
  6. Step 6: Final answer
    x = 1,299,145.03

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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.