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Finding the Third Proportional to 433,297.13 and 633,897.56

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Solution

The third proportional to 433,297.13 and 633,897.56 is: 927,368.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,297.13 : 633,897.56 = 633,897.56 : x
  2. Step 2: Convert to fraction form
    433,297.13/633,897.56 = 633,897.56/x
  3. Step 3: Cross multiply
    433,297.13x = 633,897.56 × 633,897.56
  4. Step 4: Simplify right side
    433,297.13x = 401,826,119,743.44
  5. Step 5: Solve for x
    x = 401,826,119,743.44/433,297.13
  6. Step 6: Final answer
    x = 927,368.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.