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Finding the Third Proportional to 535,263.75 and 1,176,987.75

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Solution

The third proportional to 535,263.75 and 1,176,987.75 is: 2,588,070.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,263.75 : 1,176,987.75 = 1,176,987.75 : x
  2. Step 2: Convert to fraction form
    535,263.75/1,176,987.75 = 1,176,987.75/x
  3. Step 3: Cross multiply
    535,263.75x = 1,176,987.75 × 1,176,987.75
  4. Step 4: Simplify right side
    535,263.75x = 1,385,300,163,650.06
  5. Step 5: Solve for x
    x = 1,385,300,163,650.06/535,263.75
  6. Step 6: Final answer
    x = 2,588,070.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.