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Finding the Third Proportional to 529,056 and 756,253

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Solution

The third proportional to 529,056 and 756,253 is: 1,081,017.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,056 : 756,253 = 756,253 : x
  2. Step 2: Convert to fraction form
    529,056/756,253 = 756,253/x
  3. Step 3: Cross multiply
    529,056x = 756,253 × 756,253
  4. Step 4: Simplify right side
    529,056x = 571,918,600,009
  5. Step 5: Solve for x
    x = 571,918,600,009/529,056
  6. Step 6: Final answer
    x = 1,081,017.13

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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.