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Finding the Third Proportional to 409,389,120 and 585,431,264

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Solution

The third proportional to 409,389,120 and 585,431,264 is: 837,173,603.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,389,120 : 585,431,264 = 585,431,264 : x
  2. Step 2: Convert to fraction form
    409,389,120/585,431,264 = 585,431,264/x
  3. Step 3: Cross multiply
    409,389,120x = 585,431,264 × 585,431,264
  4. Step 4: Simplify right side
    409,389,120x = 342,729,764,868,637,696
  5. Step 5: Solve for x
    x = 342,729,764,868,637,696/409,389,120
  6. Step 6: Final answer
    x = 837,173,603.61

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.