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Finding the Third Proportional to 373,699.50 and 580,237.50

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Solution

The third proportional to 373,699.50 and 580,237.50 is: 900,925.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,699.50 : 580,237.50 = 580,237.50 : x
  2. Step 2: Convert to fraction form
    373,699.50/580,237.50 = 580,237.50/x
  3. Step 3: Cross multiply
    373,699.50x = 580,237.50 × 580,237.50
  4. Step 4: Simplify right side
    373,699.50x = 336,675,556,406.25
  5. Step 5: Solve for x
    x = 336,675,556,406.25/373,699.50
  6. Step 6: Final answer
    x = 900,925.89

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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.