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Finding the Third Proportional to 385,393,549 and 549,392,503

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Solution

The third proportional to 385,393,549 and 549,392,503 is: 783,178,968.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,393,549 : 549,392,503 = 549,392,503 : x
  2. Step 2: Convert to fraction form
    385,393,549/549,392,503 = 549,392,503/x
  3. Step 3: Cross multiply
    385,393,549x = 549,392,503 × 549,392,503
  4. Step 4: Simplify right side
    385,393,549x = 301,832,122,352,604,992
  5. Step 5: Solve for x
    x = 301,832,122,352,604,992/385,393,549
  6. Step 6: Final answer
    x = 783,178,968.97

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Why These Related Problems?

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