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Finding the Third Proportional to 287,907.75 and 594,256.50

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Solution

The third proportional to 287,907.75 and 594,256.50 is: 1,226,576.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,907.75 : 594,256.50 = 594,256.50 : x
  2. Step 2: Convert to fraction form
    287,907.75/594,256.50 = 594,256.50/x
  3. Step 3: Cross multiply
    287,907.75x = 594,256.50 × 594,256.50
  4. Step 4: Simplify right side
    287,907.75x = 353,140,787,792.25
  5. Step 5: Solve for x
    x = 353,140,787,792.25/287,907.75
  6. Step 6: Final answer
    x = 1,226,576.18

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.