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Finding the Third Proportional to 465,273 and 701,797.50

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Solution

The third proportional to 465,273 and 701,797.50 is: 1,058,560.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,273 : 701,797.50 = 701,797.50 : x
  2. Step 2: Convert to fraction form
    465,273/701,797.50 = 701,797.50/x
  3. Step 3: Cross multiply
    465,273x = 701,797.50 × 701,797.50
  4. Step 4: Simplify right side
    465,273x = 492,519,731,006.25
  5. Step 5: Solve for x
    x = 492,519,731,006.25/465,273
  6. Step 6: Final answer
    x = 1,058,560.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.