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Finding the Third Proportional to 347,433,202 and 529,290,466.50

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Solution

The third proportional to 347,433,202 and 529,290,466.50 is: 806,337,437.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,433,202 : 529,290,466.50 = 529,290,466.50 : x
  2. Step 2: Convert to fraction form
    347,433,202/529,290,466.50 = 529,290,466.50/x
  3. Step 3: Cross multiply
    347,433,202x = 529,290,466.50 × 529,290,466.50
  4. Step 4: Simplify right side
    347,433,202x = 280,148,397,927,787,616
  5. Step 5: Solve for x
    x = 280,148,397,927,787,616/347,433,202
  6. Step 6: Final answer
    x = 806,337,437.86

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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.