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Finding the Third Proportional to 362,604.75 and 785,473.13

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Solution

The third proportional to 362,604.75 and 785,473.13 is: 1,701,489.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,604.75 : 785,473.13 = 785,473.13 : x
  2. Step 2: Convert to fraction form
    362,604.75/785,473.13 = 785,473.13/x
  3. Step 3: Cross multiply
    362,604.75x = 785,473.13 × 785,473.13
  4. Step 4: Simplify right side
    362,604.75x = 616,968,030,097.27
  5. Step 5: Solve for x
    x = 616,968,030,097.27/362,604.75
  6. Step 6: Final answer
    x = 1,701,489.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.