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Finding the Third Proportional to 637,645.50 and 976,556.25

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Solution

The third proportional to 637,645.50 and 976,556.25 is: 1,495,599.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,645.50 : 976,556.25 = 976,556.25 : x
  2. Step 2: Convert to fraction form
    637,645.50/976,556.25 = 976,556.25/x
  3. Step 3: Cross multiply
    637,645.50x = 976,556.25 × 976,556.25
  4. Step 4: Simplify right side
    637,645.50x = 953,662,109,414.06
  5. Step 5: Solve for x
    x = 953,662,109,414.06/637,645.50
  6. Step 6: Final answer
    x = 1,495,599.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.