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Finding the Third Proportional to 434,008.13 and 644,725.13

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Solution

The third proportional to 434,008.13 and 644,725.13 is: 957,748.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,008.13 : 644,725.13 = 644,725.13 : x
  2. Step 2: Convert to fraction form
    434,008.13/644,725.13 = 644,725.13/x
  3. Step 3: Cross multiply
    434,008.13x = 644,725.13 × 644,725.13
  4. Step 4: Simplify right side
    434,008.13x = 415,670,486,806.27
  5. Step 5: Solve for x
    x = 415,670,486,806.27/434,008.13
  6. Step 6: Final answer
    x = 957,748.17

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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.