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Finding the Third Proportional to 233,039.50 and 510,541.75

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Solution

The third proportional to 233,039.50 and 510,541.75 is: 1,118,492.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,039.50 : 510,541.75 = 510,541.75 : x
  2. Step 2: Convert to fraction form
    233,039.50/510,541.75 = 510,541.75/x
  3. Step 3: Cross multiply
    233,039.50x = 510,541.75 × 510,541.75
  4. Step 4: Simplify right side
    233,039.50x = 260,652,878,493.06
  5. Step 5: Solve for x
    x = 260,652,878,493.06/233,039.50
  6. Step 6: Final answer
    x = 1,118,492.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.