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Finding the Third Proportional to 524,936 and 776,334

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Solution

The third proportional to 524,936 and 776,334 is: 1,148,129.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,936 : 776,334 = 776,334 : x
  2. Step 2: Convert to fraction form
    524,936/776,334 = 776,334/x
  3. Step 3: Cross multiply
    524,936x = 776,334 × 776,334
  4. Step 4: Simplify right side
    524,936x = 602,694,479,556
  5. Step 5: Solve for x
    x = 602,694,479,556/524,936
  6. Step 6: Final answer
    x = 1,148,129.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.