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Finding the Third Proportional to 373,413 and 565,759.50

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Solution

The third proportional to 373,413 and 565,759.50 is: 857,184.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,413 : 565,759.50 = 565,759.50 : x
  2. Step 2: Convert to fraction form
    373,413/565,759.50 = 565,759.50/x
  3. Step 3: Cross multiply
    373,413x = 565,759.50 × 565,759.50
  4. Step 4: Simplify right side
    373,413x = 320,083,811,840.25
  5. Step 5: Solve for x
    x = 320,083,811,840.25/373,413
  6. Step 6: Final answer
    x = 857,184.44

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.