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Finding the Third Proportional to 588,516 and 887,101.50

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Solution

The third proportional to 588,516 and 887,101.50 is: 1,337,175.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,516 : 887,101.50 = 887,101.50 : x
  2. Step 2: Convert to fraction form
    588,516/887,101.50 = 887,101.50/x
  3. Step 3: Cross multiply
    588,516x = 887,101.50 × 887,101.50
  4. Step 4: Simplify right side
    588,516x = 786,949,071,302.25
  5. Step 5: Solve for x
    x = 786,949,071,302.25/588,516
  6. Step 6: Final answer
    x = 1,337,175.32

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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.