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Finding the Third Proportional to 435,297 and 616,495.50

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Solution

The third proportional to 435,297 and 616,495.50 is: 873,120.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,297 : 616,495.50 = 616,495.50 : x
  2. Step 2: Convert to fraction form
    435,297/616,495.50 = 616,495.50/x
  3. Step 3: Cross multiply
    435,297x = 616,495.50 × 616,495.50
  4. Step 4: Simplify right side
    435,297x = 380,066,701,520.25
  5. Step 5: Solve for x
    x = 380,066,701,520.25/435,297
  6. Step 6: Final answer
    x = 873,120.42

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.