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Finding the Third Proportional to 466,573.50 and 966,357

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Solution

The third proportional to 466,573.50 and 966,357 is: 2,001,497.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,573.50 : 966,357 = 966,357 : x
  2. Step 2: Convert to fraction form
    466,573.50/966,357 = 966,357/x
  3. Step 3: Cross multiply
    466,573.50x = 966,357 × 966,357
  4. Step 4: Simplify right side
    466,573.50x = 933,845,851,449
  5. Step 5: Solve for x
    x = 933,845,851,449/466,573.50
  6. Step 6: Final answer
    x = 2,001,497.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.