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Finding the Third Proportional to 328,954,454 and 731,438,332

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Solution

The third proportional to 328,954,454 and 731,438,332 is: 1,626,371,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,954,454 : 731,438,332 = 731,438,332 : x
  2. Step 2: Convert to fraction form
    328,954,454/731,438,332 = 731,438,332/x
  3. Step 3: Cross multiply
    328,954,454x = 731,438,332 × 731,438,332
  4. Step 4: Simplify right side
    328,954,454x = 535,002,033,518,942,208
  5. Step 5: Solve for x
    x = 535,002,033,518,942,208/328,954,454
  6. Step 6: Final answer
    x = 1,626,371,149.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.