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Finding the Third Proportional to 529,052.50 and 756,247.50

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Solution

The third proportional to 529,052.50 and 756,247.50 is: 1,081,008.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,052.50 : 756,247.50 = 756,247.50 : x
  2. Step 2: Convert to fraction form
    529,052.50/756,247.50 = 756,247.50/x
  3. Step 3: Cross multiply
    529,052.50x = 756,247.50 × 756,247.50
  4. Step 4: Simplify right side
    529,052.50x = 571,910,281,256.25
  5. Step 5: Solve for x
    x = 571,910,281,256.25/529,052.50
  6. Step 6: Final answer
    x = 1,081,008.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.