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Finding the Third Proportional to 522,984 and 736,476

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Solution

The third proportional to 522,984 and 736,476 is: 1,037,119.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,984 : 736,476 = 736,476 : x
  2. Step 2: Convert to fraction form
    522,984/736,476 = 736,476/x
  3. Step 3: Cross multiply
    522,984x = 736,476 × 736,476
  4. Step 4: Simplify right side
    522,984x = 542,396,898,576
  5. Step 5: Solve for x
    x = 542,396,898,576/522,984
  6. Step 6: Final answer
    x = 1,037,119.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.