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Finding the Third Proportional to 402,262 and 596,435

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Solution

The third proportional to 402,262 and 596,435 is: 884,335.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,262 : 596,435 = 596,435 : x
  2. Step 2: Convert to fraction form
    402,262/596,435 = 596,435/x
  3. Step 3: Cross multiply
    402,262x = 596,435 × 596,435
  4. Step 4: Simplify right side
    402,262x = 355,734,709,225
  5. Step 5: Solve for x
    x = 355,734,709,225/402,262
  6. Step 6: Final answer
    x = 884,335.85

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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.