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Finding the Third Proportional to 653,967 and 887,638.50

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Solution

The third proportional to 653,967 and 887,638.50 is: 1,204,804.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,967 : 887,638.50 = 887,638.50 : x
  2. Step 2: Convert to fraction form
    653,967/887,638.50 = 887,638.50/x
  3. Step 3: Cross multiply
    653,967x = 887,638.50 × 887,638.50
  4. Step 4: Simplify right side
    653,967x = 787,902,106,682.25
  5. Step 5: Solve for x
    x = 787,902,106,682.25/653,967
  6. Step 6: Final answer
    x = 1,204,804.08

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.