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Finding the Third Proportional to 529,045 and 756,232

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Solution

The third proportional to 529,045 and 756,232 is: 1,080,979.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,045 : 756,232 = 756,232 : x
  2. Step 2: Convert to fraction form
    529,045/756,232 = 756,232/x
  3. Step 3: Cross multiply
    529,045x = 756,232 × 756,232
  4. Step 4: Simplify right side
    529,045x = 571,886,837,824
  5. Step 5: Solve for x
    x = 571,886,837,824/529,045
  6. Step 6: Final answer
    x = 1,080,979.57

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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.