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Finding the Third Proportional to 211,360 and 498,432.50

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Solution

The third proportional to 211,360 and 498,432.50 is: 1,175,411.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,360 : 498,432.50 = 498,432.50 : x
  2. Step 2: Convert to fraction form
    211,360/498,432.50 = 498,432.50/x
  3. Step 3: Cross multiply
    211,360x = 498,432.50 × 498,432.50
  4. Step 4: Simplify right side
    211,360x = 248,434,957,056.25
  5. Step 5: Solve for x
    x = 248,434,957,056.25/211,360
  6. Step 6: Final answer
    x = 1,175,411.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.