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Finding the Third Proportional to 368,637.75 and 586,153.13

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Solution

The third proportional to 368,637.75 and 586,153.13 is: 932,013.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,637.75 : 586,153.13 = 586,153.13 : x
  2. Step 2: Convert to fraction form
    368,637.75/586,153.13 = 586,153.13/x
  3. Step 3: Cross multiply
    368,637.75x = 586,153.13 × 586,153.13
  4. Step 4: Simplify right side
    368,637.75x = 343,575,485,947.27
  5. Step 5: Solve for x
    x = 343,575,485,947.27/368,637.75
  6. Step 6: Final answer
    x = 932,013.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.