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Finding the Third Proportional to 329,294,835 and 650,261,569.50

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Solution

The third proportional to 329,294,835 and 650,261,569.50 is: 1,284,077,561.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,294,835 : 650,261,569.50 = 650,261,569.50 : x
  2. Step 2: Convert to fraction form
    329,294,835/650,261,569.50 = 650,261,569.50/x
  3. Step 3: Cross multiply
    329,294,835x = 650,261,569.50 × 650,261,569.50
  4. Step 4: Simplify right side
    329,294,835x = 422,840,108,768,603,328
  5. Step 5: Solve for x
    x = 422,840,108,768,603,328/329,294,835
  6. Step 6: Final answer
    x = 1,284,077,561.58

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.