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Finding the Third Proportional to 295,851 and 632,707.50

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Solution

The third proportional to 295,851 and 632,707.50 is: 1,353,109.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,851 : 632,707.50 = 632,707.50 : x
  2. Step 2: Convert to fraction form
    295,851/632,707.50 = 632,707.50/x
  3. Step 3: Cross multiply
    295,851x = 632,707.50 × 632,707.50
  4. Step 4: Simplify right side
    295,851x = 400,318,780,556.25
  5. Step 5: Solve for x
    x = 400,318,780,556.25/295,851
  6. Step 6: Final answer
    x = 1,353,109.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.