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Finding the Third Proportional to 562,759.88 and 842,593.50

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Solution

The third proportional to 562,759.88 and 842,593.50 is: 1,261,575.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,759.88 : 842,593.50 = 842,593.50 : x
  2. Step 2: Convert to fraction form
    562,759.88/842,593.50 = 842,593.50/x
  3. Step 3: Cross multiply
    562,759.88x = 842,593.50 × 842,593.50
  4. Step 4: Simplify right side
    562,759.88x = 709,963,806,242.25
  5. Step 5: Solve for x
    x = 709,963,806,242.25/562,759.88
  6. Step 6: Final answer
    x = 1,261,575.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.