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Finding the Third Proportional to 374,282.50 and 575,305

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Solution

The third proportional to 374,282.50 and 575,305 is: 884,294.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,282.50 : 575,305 = 575,305 : x
  2. Step 2: Convert to fraction form
    374,282.50/575,305 = 575,305/x
  3. Step 3: Cross multiply
    374,282.50x = 575,305 × 575,305
  4. Step 4: Simplify right side
    374,282.50x = 330,975,843,025
  5. Step 5: Solve for x
    x = 330,975,843,025/374,282.50
  6. Step 6: Final answer
    x = 884,294.20

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.