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Finding the Third Proportional to 382,520 and 562,115.50

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Solution

The third proportional to 382,520 and 562,115.50 is: 826,032.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,520 : 562,115.50 = 562,115.50 : x
  2. Step 2: Convert to fraction form
    382,520/562,115.50 = 562,115.50/x
  3. Step 3: Cross multiply
    382,520x = 562,115.50 × 562,115.50
  4. Step 4: Simplify right side
    382,520x = 315,973,835,340.25
  5. Step 5: Solve for x
    x = 315,973,835,340.25/382,520
  6. Step 6: Final answer
    x = 826,032.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.