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Finding the Third Proportional to 529,062 and 756,261

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Solution

The third proportional to 529,062 and 756,261 is: 1,081,027.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,062 : 756,261 = 756,261 : x
  2. Step 2: Convert to fraction form
    529,062/756,261 = 756,261/x
  3. Step 3: Cross multiply
    529,062x = 756,261 × 756,261
  4. Step 4: Simplify right side
    529,062x = 571,930,700,121
  5. Step 5: Solve for x
    x = 571,930,700,121/529,062
  6. Step 6: Final answer
    x = 1,081,027.74

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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.