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Finding the Third Proportional to 566,215 and 857,564

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Solution

The third proportional to 566,215 and 857,564 is: 1,298,828.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,215 : 857,564 = 857,564 : x
  2. Step 2: Convert to fraction form
    566,215/857,564 = 857,564/x
  3. Step 3: Cross multiply
    566,215x = 857,564 × 857,564
  4. Step 4: Simplify right side
    566,215x = 735,416,014,096
  5. Step 5: Solve for x
    x = 735,416,014,096/566,215
  6. Step 6: Final answer
    x = 1,298,828.21

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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.