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Finding the Third Proportional to 382,411.13 and 562,484.25

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Solution

The third proportional to 382,411.13 and 562,484.25 is: 827,351.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,411.13 : 562,484.25 = 562,484.25 : x
  2. Step 2: Convert to fraction form
    382,411.13/562,484.25 = 562,484.25/x
  3. Step 3: Cross multiply
    382,411.13x = 562,484.25 × 562,484.25
  4. Step 4: Simplify right side
    382,411.13x = 316,388,531,498.06
  5. Step 5: Solve for x
    x = 316,388,531,498.06/382,411.13
  6. Step 6: Final answer
    x = 827,351.80

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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.