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Finding the Third Proportional to 288,648 and 429,894

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Solution

The third proportional to 288,648 and 429,894 is: 640,256.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,648 : 429,894 = 429,894 : x
  2. Step 2: Convert to fraction form
    288,648/429,894 = 429,894/x
  3. Step 3: Cross multiply
    288,648x = 429,894 × 429,894
  4. Step 4: Simplify right side
    288,648x = 184,808,851,236
  5. Step 5: Solve for x
    x = 184,808,851,236/288,648
  6. Step 6: Final answer
    x = 640,256.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.