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Finding the Third Proportional to 333,504,398.25 and 724,420,395

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Solution

The third proportional to 333,504,398.25 and 724,420,395 is: 1,573,547,189.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,504,398.25 : 724,420,395 = 724,420,395 : x
  2. Step 2: Convert to fraction form
    333,504,398.25/724,420,395 = 724,420,395/x
  3. Step 3: Cross multiply
    333,504,398.25x = 724,420,395 × 724,420,395
  4. Step 4: Simplify right side
    333,504,398.25x = 524,784,908,691,956,032
  5. Step 5: Solve for x
    x = 524,784,908,691,956,032/333,504,398.25
  6. Step 6: Final answer
    x = 1,573,547,189.92

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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.