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Finding the Third Proportional to 374,391 and 566,365.50

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Solution

The third proportional to 374,391 and 566,365.50 is: 856,777.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,391 : 566,365.50 = 566,365.50 : x
  2. Step 2: Convert to fraction form
    374,391/566,365.50 = 566,365.50/x
  3. Step 3: Cross multiply
    374,391x = 566,365.50 × 566,365.50
  4. Step 4: Simplify right side
    374,391x = 320,769,879,590.25
  5. Step 5: Solve for x
    x = 320,769,879,590.25/374,391
  6. Step 6: Final answer
    x = 856,777.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.