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Finding the Third Proportional to 235,038 and 512,632.50

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Solution

The third proportional to 235,038 and 512,632.50 is: 1,118,083.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,038 : 512,632.50 = 512,632.50 : x
  2. Step 2: Convert to fraction form
    235,038/512,632.50 = 512,632.50/x
  3. Step 3: Cross multiply
    235,038x = 512,632.50 × 512,632.50
  4. Step 4: Simplify right side
    235,038x = 262,792,080,056.25
  5. Step 5: Solve for x
    x = 262,792,080,056.25/235,038
  6. Step 6: Final answer
    x = 1,118,083.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.