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Finding the Third Proportional to 569,430 and 857,870

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Solution

The third proportional to 569,430 and 857,870 is: 1,292,416.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,430 : 857,870 = 857,870 : x
  2. Step 2: Convert to fraction form
    569,430/857,870 = 857,870/x
  3. Step 3: Cross multiply
    569,430x = 857,870 × 857,870
  4. Step 4: Simplify right side
    569,430x = 735,940,936,900
  5. Step 5: Solve for x
    x = 735,940,936,900/569,430
  6. Step 6: Final answer
    x = 1,292,416.87

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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.