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Finding the Third Proportional to 255,631.50 and 536,958

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Solution

The third proportional to 255,631.50 and 536,958 is: 1,127,888.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,631.50 : 536,958 = 536,958 : x
  2. Step 2: Convert to fraction form
    255,631.50/536,958 = 536,958/x
  3. Step 3: Cross multiply
    255,631.50x = 536,958 × 536,958
  4. Step 4: Simplify right side
    255,631.50x = 288,323,893,764
  5. Step 5: Solve for x
    x = 288,323,893,764/255,631.50
  6. Step 6: Final answer
    x = 1,127,888.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.