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Finding the Third Proportional to 367,598 and 562,210

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Solution

The third proportional to 367,598 and 562,210 is: 859,852.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,598 : 562,210 = 562,210 : x
  2. Step 2: Convert to fraction form
    367,598/562,210 = 562,210/x
  3. Step 3: Cross multiply
    367,598x = 562,210 × 562,210
  4. Step 4: Simplify right side
    367,598x = 316,080,084,100
  5. Step 5: Solve for x
    x = 316,080,084,100/367,598
  6. Step 6: Final answer
    x = 859,852.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.