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Finding the Third Proportional to 382,254,592 and 590,280,486

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Solution

The third proportional to 382,254,592 and 590,280,486 is: 911,515,674.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,254,592 : 590,280,486 = 590,280,486 : x
  2. Step 2: Convert to fraction form
    382,254,592/590,280,486 = 590,280,486/x
  3. Step 3: Cross multiply
    382,254,592x = 590,280,486 × 590,280,486
  4. Step 4: Simplify right side
    382,254,592x = 348,431,052,152,396,224
  5. Step 5: Solve for x
    x = 348,431,052,152,396,224/382,254,592
  6. Step 6: Final answer
    x = 911,515,674.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.