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Finding the Third Proportional to 522,956 and 736,421

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Solution

The third proportional to 522,956 and 736,421 is: 1,037,020.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,956 : 736,421 = 736,421 : x
  2. Step 2: Convert to fraction form
    522,956/736,421 = 736,421/x
  3. Step 3: Cross multiply
    522,956x = 736,421 × 736,421
  4. Step 4: Simplify right side
    522,956x = 542,315,889,241
  5. Step 5: Solve for x
    x = 542,315,889,241/522,956
  6. Step 6: Final answer
    x = 1,037,020.11

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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.