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Finding the Third Proportional to 362,069 and 506,435

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Solution

The third proportional to 362,069 and 506,435 is: 708,363.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,069 : 506,435 = 506,435 : x
  2. Step 2: Convert to fraction form
    362,069/506,435 = 506,435/x
  3. Step 3: Cross multiply
    362,069x = 506,435 × 506,435
  4. Step 4: Simplify right side
    362,069x = 256,476,409,225
  5. Step 5: Solve for x
    x = 256,476,409,225/362,069
  6. Step 6: Final answer
    x = 708,363.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.