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Finding the Third Proportional to 297,696 and 429,552

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Solution

The third proportional to 297,696 and 429,552 is: 619,809.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,696 : 429,552 = 429,552 : x
  2. Step 2: Convert to fraction form
    297,696/429,552 = 429,552/x
  3. Step 3: Cross multiply
    297,696x = 429,552 × 429,552
  4. Step 4: Simplify right side
    297,696x = 184,514,920,704
  5. Step 5: Solve for x
    x = 184,514,920,704/297,696
  6. Step 6: Final answer
    x = 619,809.88

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.