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Finding the Third Proportional to 434,689,110 and 650,310,307

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Solution

The third proportional to 434,689,110 and 650,310,307 is: 972,887,255.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,689,110 : 650,310,307 = 650,310,307 : x
  2. Step 2: Convert to fraction form
    434,689,110/650,310,307 = 650,310,307/x
  3. Step 3: Cross multiply
    434,689,110x = 650,310,307 × 650,310,307
  4. Step 4: Simplify right side
    434,689,110x = 422,903,495,390,434,240
  5. Step 5: Solve for x
    x = 422,903,495,390,434,240/434,689,110
  6. Step 6: Final answer
    x = 972,887,255.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.