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Finding the Third Proportional to 388,608.38 and 840,417.75

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Solution

The third proportional to 388,608.38 and 840,417.75 is: 1,817,516.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,608.38 : 840,417.75 = 840,417.75 : x
  2. Step 2: Convert to fraction form
    388,608.38/840,417.75 = 840,417.75/x
  3. Step 3: Cross multiply
    388,608.38x = 840,417.75 × 840,417.75
  4. Step 4: Simplify right side
    388,608.38x = 706,301,994,515.06
  5. Step 5: Solve for x
    x = 706,301,994,515.06/388,608.38
  6. Step 6: Final answer
    x = 1,817,516.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.