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Finding the Third Proportional to 332,784.49 and 475,885.76

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Solution

The third proportional to 332,784.49 and 475,885.76 is: 680,522.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,784.49 : 475,885.76 = 475,885.76 : x
  2. Step 2: Convert to fraction form
    332,784.49/475,885.76 = 475,885.76/x
  3. Step 3: Cross multiply
    332,784.49x = 475,885.76 × 475,885.76
  4. Step 4: Simplify right side
    332,784.49x = 226,467,254,488.78
  5. Step 5: Solve for x
    x = 226,467,254,488.78/332,784.49
  6. Step 6: Final answer
    x = 680,522.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.