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Finding the Third Proportional to 489,348 and 748,647.56

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Solution

The third proportional to 489,348 and 748,647.56 is: 1,145,346.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,348 : 748,647.56 = 748,647.56 : x
  2. Step 2: Convert to fraction form
    489,348/748,647.56 = 748,647.56/x
  3. Step 3: Cross multiply
    489,348x = 748,647.56 × 748,647.56
  4. Step 4: Simplify right side
    489,348x = 560,473,172,837.19
  5. Step 5: Solve for x
    x = 560,473,172,837.19/489,348
  6. Step 6: Final answer
    x = 1,145,346.81

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.