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Finding the Third Proportional to 344,065 and 475,435

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Solution

The third proportional to 344,065 and 475,435 is: 656,964.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,065 : 475,435 = 475,435 : x
  2. Step 2: Convert to fraction form
    344,065/475,435 = 475,435/x
  3. Step 3: Cross multiply
    344,065x = 475,435 × 475,435
  4. Step 4: Simplify right side
    344,065x = 226,038,439,225
  5. Step 5: Solve for x
    x = 226,038,439,225/344,065
  6. Step 6: Final answer
    x = 656,964.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.