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Finding the Third Proportional to 445,756 and 651,564

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Solution

The third proportional to 445,756 and 651,564 is: 952,394.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,756 : 651,564 = 651,564 : x
  2. Step 2: Convert to fraction form
    445,756/651,564 = 651,564/x
  3. Step 3: Cross multiply
    445,756x = 651,564 × 651,564
  4. Step 4: Simplify right side
    445,756x = 424,535,646,096
  5. Step 5: Solve for x
    x = 424,535,646,096/445,756
  6. Step 6: Final answer
    x = 952,394.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.