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Finding the Third Proportional to 483,120.75 and 710,473.13

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Solution

The third proportional to 483,120.75 and 710,473.13 is: 1,044,815.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,120.75 : 710,473.13 = 710,473.13 : x
  2. Step 2: Convert to fraction form
    483,120.75/710,473.13 = 710,473.13/x
  3. Step 3: Cross multiply
    483,120.75x = 710,473.13 × 710,473.13
  4. Step 4: Simplify right side
    483,120.75x = 504,772,061,347.27
  5. Step 5: Solve for x
    x = 504,772,061,347.27/483,120.75
  6. Step 6: Final answer
    x = 1,044,815.53

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.