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Finding the Third Proportional to 489,316.50 and 715,092.75

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Solution

The third proportional to 489,316.50 and 715,092.75 is: 1,045,044.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,316.50 : 715,092.75 = 715,092.75 : x
  2. Step 2: Convert to fraction form
    489,316.50/715,092.75 = 715,092.75/x
  3. Step 3: Cross multiply
    489,316.50x = 715,092.75 × 715,092.75
  4. Step 4: Simplify right side
    489,316.50x = 511,357,641,102.56
  5. Step 5: Solve for x
    x = 511,357,641,102.56/489,316.50
  6. Step 6: Final answer
    x = 1,045,044.75

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.