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Finding the Third Proportional to 385,598,320 and 587,432,544

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Solution

The third proportional to 385,598,320 and 587,432,544 is: 894,913,115.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,598,320 : 587,432,544 = 587,432,544 : x
  2. Step 2: Convert to fraction form
    385,598,320/587,432,544 = 587,432,544/x
  3. Step 3: Cross multiply
    385,598,320x = 587,432,544 × 587,432,544
  4. Step 4: Simplify right side
    385,598,320x = 345,076,993,750,311,936
  5. Step 5: Solve for x
    x = 345,076,993,750,311,936/385,598,320
  6. Step 6: Final answer
    x = 894,913,115.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.