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Finding the Third Proportional to 553,200.75 and 833,697

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Solution

The third proportional to 553,200.75 and 833,697 is: 1,256,416.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,200.75 : 833,697 = 833,697 : x
  2. Step 2: Convert to fraction form
    553,200.75/833,697 = 833,697/x
  3. Step 3: Cross multiply
    553,200.75x = 833,697 × 833,697
  4. Step 4: Simplify right side
    553,200.75x = 695,050,687,809
  5. Step 5: Solve for x
    x = 695,050,687,809/553,200.75
  6. Step 6: Final answer
    x = 1,256,416.75

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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.