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Finding the Third Proportional to 488,817.56 and 715,727.25

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Solution

The third proportional to 488,817.56 and 715,727.25 is: 1,047,968.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,817.56 : 715,727.25 = 715,727.25 : x
  2. Step 2: Convert to fraction form
    488,817.56/715,727.25 = 715,727.25/x
  3. Step 3: Cross multiply
    488,817.56x = 715,727.25 × 715,727.25
  4. Step 4: Simplify right side
    488,817.56x = 512,265,496,392.56
  5. Step 5: Solve for x
    x = 512,265,496,392.56/488,817.56
  6. Step 6: Final answer
    x = 1,047,968.68

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Why These Related Problems?

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