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Finding the Third Proportional to 373,681.69 and 580,208.06

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Solution

The third proportional to 373,681.69 and 580,208.06 is: 900,877.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,681.69 : 580,208.06 = 580,208.06 : x
  2. Step 2: Convert to fraction form
    373,681.69/580,208.06 = 580,208.06/x
  3. Step 3: Cross multiply
    373,681.69x = 580,208.06 × 580,208.06
  4. Step 4: Simplify right side
    373,681.69x = 336,641,395,790.00
  5. Step 5: Solve for x
    x = 336,641,395,790.00/373,681.69
  6. Step 6: Final answer
    x = 900,877.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.