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Finding the Third Proportional to 233,741.95 and 504,389.53

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Solution

The third proportional to 233,741.95 and 504,389.53 is: 1,088,417.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,741.95 : 504,389.53 = 504,389.53 : x
  2. Step 2: Convert to fraction form
    233,741.95/504,389.53 = 504,389.53/x
  3. Step 3: Cross multiply
    233,741.95x = 504,389.53 × 504,389.53
  4. Step 4: Simplify right side
    233,741.95x = 254,408,799,234.60
  5. Step 5: Solve for x
    x = 254,408,799,234.60/233,741.95
  6. Step 6: Final answer
    x = 1,088,417.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.