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Finding the Third Proportional to 385,598,243 and 587,432,429

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Solution

The third proportional to 385,598,243 and 587,432,429 is: 894,912,943.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,598,243 : 587,432,429 = 587,432,429 : x
  2. Step 2: Convert to fraction form
    385,598,243/587,432,429 = 587,432,429/x
  3. Step 3: Cross multiply
    385,598,243x = 587,432,429 × 587,432,429
  4. Step 4: Simplify right side
    385,598,243x = 345,076,858,640,840,064
  5. Step 5: Solve for x
    x = 345,076,858,640,840,064/385,598,243
  6. Step 6: Final answer
    x = 894,912,943.47

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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.