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Finding the Third Proportional to 589,461.75 and 887,625

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Solution

The third proportional to 589,461.75 and 887,625 is: 1,336,606.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,461.75 : 887,625 = 887,625 : x
  2. Step 2: Convert to fraction form
    589,461.75/887,625 = 887,625/x
  3. Step 3: Cross multiply
    589,461.75x = 887,625 × 887,625
  4. Step 4: Simplify right side
    589,461.75x = 787,878,140,625
  5. Step 5: Solve for x
    x = 787,878,140,625/589,461.75
  6. Step 6: Final answer
    x = 1,336,606.05

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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.