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Finding the Third Proportional to 569,223 and 857,574

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Solution

The third proportional to 569,223 and 857,574 is: 1,291,994.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,223 : 857,574 = 857,574 : x
  2. Step 2: Convert to fraction form
    569,223/857,574 = 857,574/x
  3. Step 3: Cross multiply
    569,223x = 857,574 × 857,574
  4. Step 4: Simplify right side
    569,223x = 735,433,165,476
  5. Step 5: Solve for x
    x = 735,433,165,476/569,223
  6. Step 6: Final answer
    x = 1,291,994.82

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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.