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Finding the Third Proportional to 569,211 and 857,556

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Solution

The third proportional to 569,211 and 857,556 is: 1,291,967.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,211 : 857,556 = 857,556 : x
  2. Step 2: Convert to fraction form
    569,211/857,556 = 857,556/x
  3. Step 3: Cross multiply
    569,211x = 857,556 × 857,556
  4. Step 4: Simplify right side
    569,211x = 735,402,293,136
  5. Step 5: Solve for x
    x = 735,402,293,136/569,211
  6. Step 6: Final answer
    x = 1,291,967.82

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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.