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Finding the Third Proportional to 366,989 and 562,148

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Solution

The third proportional to 366,989 and 562,148 is: 861,089.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,989 : 562,148 = 562,148 : x
  2. Step 2: Convert to fraction form
    366,989/562,148 = 562,148/x
  3. Step 3: Cross multiply
    366,989x = 562,148 × 562,148
  4. Step 4: Simplify right side
    366,989x = 316,010,373,904
  5. Step 5: Solve for x
    x = 316,010,373,904/366,989
  6. Step 6: Final answer
    x = 861,089.50

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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.