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Finding the Third Proportional to 569,119.50 and 857,432.25

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Solution

The third proportional to 569,119.50 and 857,432.25 is: 1,291,802.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,119.50 : 857,432.25 = 857,432.25 : x
  2. Step 2: Convert to fraction form
    569,119.50/857,432.25 = 857,432.25/x
  3. Step 3: Cross multiply
    569,119.50x = 857,432.25 × 857,432.25
  4. Step 4: Simplify right side
    569,119.50x = 735,190,063,340.06
  5. Step 5: Solve for x
    x = 735,190,063,340.06/569,119.50
  6. Step 6: Final answer
    x = 1,291,802.62

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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.