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Finding the Third Proportional to 229,479 and 354,465

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Solution

The third proportional to 229,479 and 354,465 is: 547,524.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,479 : 354,465 = 354,465 : x
  2. Step 2: Convert to fraction form
    229,479/354,465 = 354,465/x
  3. Step 3: Cross multiply
    229,479x = 354,465 × 354,465
  4. Step 4: Simplify right side
    229,479x = 125,645,436,225
  5. Step 5: Solve for x
    x = 125,645,436,225/229,479
  6. Step 6: Final answer
    x = 547,524.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.