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Finding the Third Proportional to 484,500 and 750,186

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Solution

The third proportional to 484,500 and 750,186 is: 1,161,566.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,500 : 750,186 = 750,186 : x
  2. Step 2: Convert to fraction form
    484,500/750,186 = 750,186/x
  3. Step 3: Cross multiply
    484,500x = 750,186 × 750,186
  4. Step 4: Simplify right side
    484,500x = 562,779,034,596
  5. Step 5: Solve for x
    x = 562,779,034,596/484,500
  6. Step 6: Final answer
    x = 1,161,566.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.