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Finding the Third Proportional to 536,219 and 750,015

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Solution

The third proportional to 536,219 and 750,015 is: 1,049,053.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,219 : 750,015 = 750,015 : x
  2. Step 2: Convert to fraction form
    536,219/750,015 = 750,015/x
  3. Step 3: Cross multiply
    536,219x = 750,015 × 750,015
  4. Step 4: Simplify right side
    536,219x = 562,522,500,225
  5. Step 5: Solve for x
    x = 562,522,500,225/536,219
  6. Step 6: Final answer
    x = 1,049,053.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.