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Finding the Third Proportional to 472,706.25 and 636,880.50

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Solution

The third proportional to 472,706.25 and 636,880.50 is: 858,073.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,706.25 : 636,880.50 = 636,880.50 : x
  2. Step 2: Convert to fraction form
    472,706.25/636,880.50 = 636,880.50/x
  3. Step 3: Cross multiply
    472,706.25x = 636,880.50 × 636,880.50
  4. Step 4: Simplify right side
    472,706.25x = 405,616,771,280.25
  5. Step 5: Solve for x
    x = 405,616,771,280.25/472,706.25
  6. Step 6: Final answer
    x = 858,073.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.