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Finding the Third Proportional to 233,061.38 and 507,638.63

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Solution

The third proportional to 233,061.38 and 507,638.63 is: 1,105,704.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,061.38 : 507,638.63 = 507,638.63 : x
  2. Step 2: Convert to fraction form
    233,061.38/507,638.63 = 507,638.63/x
  3. Step 3: Cross multiply
    233,061.38x = 507,638.63 × 507,638.63
  4. Step 4: Simplify right side
    233,061.38x = 257,696,973,591.89
  5. Step 5: Solve for x
    x = 257,696,973,591.89/233,061.38
  6. Step 6: Final answer
    x = 1,105,704.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.