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Finding the Third Proportional to 413,289.84 and 632,248.03

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Solution

The third proportional to 413,289.84 and 632,248.03 is: 967,208.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,289.84 : 632,248.03 = 632,248.03 : x
  2. Step 2: Convert to fraction form
    413,289.84/632,248.03 = 632,248.03/x
  3. Step 3: Cross multiply
    413,289.84x = 632,248.03 × 632,248.03
  4. Step 4: Simplify right side
    413,289.84x = 399,737,573,019.50
  5. Step 5: Solve for x
    x = 399,737,573,019.50/413,289.84
  6. Step 6: Final answer
    x = 967,208.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.