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Finding the Third Proportional to 235,020 and 512,596.50

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Solution

The third proportional to 235,020 and 512,596.50 is: 1,118,011.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,020 : 512,596.50 = 512,596.50 : x
  2. Step 2: Convert to fraction form
    235,020/512,596.50 = 512,596.50/x
  3. Step 3: Cross multiply
    235,020x = 512,596.50 × 512,596.50
  4. Step 4: Simplify right side
    235,020x = 262,755,171,812.25
  5. Step 5: Solve for x
    x = 262,755,171,812.25/235,020
  6. Step 6: Final answer
    x = 1,118,011.96

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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.