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Finding the Third Proportional to 457,060.50 and 969,417

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Solution

The third proportional to 457,060.50 and 969,417 is: 2,056,115.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,060.50 : 969,417 = 969,417 : x
  2. Step 2: Convert to fraction form
    457,060.50/969,417 = 969,417/x
  3. Step 3: Cross multiply
    457,060.50x = 969,417 × 969,417
  4. Step 4: Simplify right side
    457,060.50x = 939,769,319,889
  5. Step 5: Solve for x
    x = 939,769,319,889/457,060.50
  6. Step 6: Final answer
    x = 2,056,115.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.