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Finding the Third Proportional to 328,092 and 715,480

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Solution

The third proportional to 328,092 and 715,480 is: 1,560,268.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,092 : 715,480 = 715,480 : x
  2. Step 2: Convert to fraction form
    328,092/715,480 = 715,480/x
  3. Step 3: Cross multiply
    328,092x = 715,480 × 715,480
  4. Step 4: Simplify right side
    328,092x = 511,911,630,400
  5. Step 5: Solve for x
    x = 511,911,630,400/328,092
  6. Step 6: Final answer
    x = 1,560,268.55

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.