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Finding the Third Proportional to 488,827.50 and 715,741

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Solution

The third proportional to 488,827.50 and 715,741 is: 1,047,987.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,827.50 : 715,741 = 715,741 : x
  2. Step 2: Convert to fraction form
    488,827.50/715,741 = 715,741/x
  3. Step 3: Cross multiply
    488,827.50x = 715,741 × 715,741
  4. Step 4: Simplify right side
    488,827.50x = 512,285,179,081
  5. Step 5: Solve for x
    x = 512,285,179,081/488,827.50
  6. Step 6: Final answer
    x = 1,047,987.64

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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.