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Finding the Third Proportional to 433,299.38 and 633,903.47

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Solution

The third proportional to 433,299.38 and 633,903.47 is: 927,381.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,299.38 : 633,903.47 = 633,903.47 : x
  2. Step 2: Convert to fraction form
    433,299.38/633,903.47 = 633,903.47/x
  3. Step 3: Cross multiply
    433,299.38x = 633,903.47 × 633,903.47
  4. Step 4: Simplify right side
    433,299.38x = 401,833,607,693.28
  5. Step 5: Solve for x
    x = 401,833,607,693.28/433,299.38
  6. Step 6: Final answer
    x = 927,381.00

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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.