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Finding the Third Proportional to 569,213 and 857,559

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Solution

The third proportional to 569,213 and 857,559 is: 1,291,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,213 : 857,559 = 857,559 : x
  2. Step 2: Convert to fraction form
    569,213/857,559 = 857,559/x
  3. Step 3: Cross multiply
    569,213x = 857,559 × 857,559
  4. Step 4: Simplify right side
    569,213x = 735,407,438,481
  5. Step 5: Solve for x
    x = 735,407,438,481/569,213
  6. Step 6: Final answer
    x = 1,291,972.32

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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.