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Finding the Third Proportional to 333,504,810 and 724,421,214

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Solution

The third proportional to 333,504,810 and 724,421,214 is: 1,573,548,805.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,504,810 : 724,421,214 = 724,421,214 : x
  2. Step 2: Convert to fraction form
    333,504,810/724,421,214 = 724,421,214/x
  3. Step 3: Cross multiply
    333,504,810x = 724,421,214 × 724,421,214
  4. Step 4: Simplify right side
    333,504,810x = 524,786,095,293,233,792
  5. Step 5: Solve for x
    x = 524,786,095,293,233,792/333,504,810
  6. Step 6: Final answer
    x = 1,573,548,805.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.