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Finding the Third Proportional to 328,892,708 and 731,320,334

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Solution

The third proportional to 328,892,708 and 731,320,334 is: 1,626,151,683.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,892,708 : 731,320,334 = 731,320,334 : x
  2. Step 2: Convert to fraction form
    328,892,708/731,320,334 = 731,320,334/x
  3. Step 3: Cross multiply
    328,892,708x = 731,320,334 × 731,320,334
  4. Step 4: Simplify right side
    328,892,708x = 534,829,430,921,871,552
  5. Step 5: Solve for x
    x = 534,829,430,921,871,552/328,892,708
  6. Step 6: Final answer
    x = 1,626,151,683.86

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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.