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Finding the Third Proportional to 487,165.50 and 701,740

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Solution

The third proportional to 487,165.50 and 701,740 is: 1,010,824.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,165.50 : 701,740 = 701,740 : x
  2. Step 2: Convert to fraction form
    487,165.50/701,740 = 701,740/x
  3. Step 3: Cross multiply
    487,165.50x = 701,740 × 701,740
  4. Step 4: Simplify right side
    487,165.50x = 492,439,027,600
  5. Step 5: Solve for x
    x = 492,439,027,600/487,165.50
  6. Step 6: Final answer
    x = 1,010,824.92

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.