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Finding the Third Proportional to 387,099 and 801,411.75

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Solution

The third proportional to 387,099 and 801,411.75 is: 1,659,164.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,099 : 801,411.75 = 801,411.75 : x
  2. Step 2: Convert to fraction form
    387,099/801,411.75 = 801,411.75/x
  3. Step 3: Cross multiply
    387,099x = 801,411.75 × 801,411.75
  4. Step 4: Simplify right side
    387,099x = 642,260,793,038.06
  5. Step 5: Solve for x
    x = 642,260,793,038.06/387,099
  6. Step 6: Final answer
    x = 1,659,164.18

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.