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Finding the Third Proportional to 460,122.75 and 710,704.13

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Solution

The third proportional to 460,122.75 and 710,704.13 is: 1,097,751.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,122.75 : 710,704.13 = 710,704.13 : x
  2. Step 2: Convert to fraction form
    460,122.75/710,704.13 = 710,704.13/x
  3. Step 3: Cross multiply
    460,122.75x = 710,704.13 × 710,704.13
  4. Step 4: Simplify right side
    460,122.75x = 505,100,353,292.02
  5. Step 5: Solve for x
    x = 505,100,353,292.02/460,122.75
  6. Step 6: Final answer
    x = 1,097,751.31

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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.