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Finding the Third Proportional to 357,622 and 536,441

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Solution

The third proportional to 357,622 and 536,441 is: 804,673.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,622 : 536,441 = 536,441 : x
  2. Step 2: Convert to fraction form
    357,622/536,441 = 536,441/x
  3. Step 3: Cross multiply
    357,622x = 536,441 × 536,441
  4. Step 4: Simplify right side
    357,622x = 287,768,946,481
  5. Step 5: Solve for x
    x = 287,768,946,481/357,622
  6. Step 6: Final answer
    x = 804,673.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.