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Finding the Third Proportional to 333,207 and 729,729

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Solution

The third proportional to 333,207 and 729,729 is: 1,598,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,207 : 729,729 = 729,729 : x
  2. Step 2: Convert to fraction form
    333,207/729,729 = 729,729/x
  3. Step 3: Cross multiply
    333,207x = 729,729 × 729,729
  4. Step 4: Simplify right side
    333,207x = 532,504,413,441
  5. Step 5: Solve for x
    x = 532,504,413,441/333,207
  6. Step 6: Final answer
    x = 1,598,118.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.