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Finding the Third Proportional to 387,164.81 and 830,363.91

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Solution

The third proportional to 387,164.81 and 830,363.91 is: 1,780,906.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,164.81 : 830,363.91 = 830,363.91 : x
  2. Step 2: Convert to fraction form
    387,164.81/830,363.91 = 830,363.91/x
  3. Step 3: Cross multiply
    387,164.81x = 830,363.91 × 830,363.91
  4. Step 4: Simplify right side
    387,164.81x = 689,504,216,802.76
  5. Step 5: Solve for x
    x = 689,504,216,802.76/387,164.81
  6. Step 6: Final answer
    x = 1,780,906.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.