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Finding the Third Proportional to 385,598,322 and 587,432,547

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Solution

The third proportional to 385,598,322 and 587,432,547 is: 894,913,119.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,598,322 : 587,432,547 = 587,432,547 : x
  2. Step 2: Convert to fraction form
    385,598,322/587,432,547 = 587,432,547/x
  3. Step 3: Cross multiply
    385,598,322x = 587,432,547 × 587,432,547
  4. Step 4: Simplify right side
    385,598,322x = 345,076,997,274,907,200
  5. Step 5: Solve for x
    x = 345,076,997,274,907,200/385,598,322
  6. Step 6: Final answer
    x = 894,913,119.66

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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.