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Finding the Third Proportional to 265,036.50 and 410,838.75

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Solution

The third proportional to 265,036.50 and 410,838.75 is: 636,849.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,036.50 : 410,838.75 = 410,838.75 : x
  2. Step 2: Convert to fraction form
    265,036.50/410,838.75 = 410,838.75/x
  3. Step 3: Cross multiply
    265,036.50x = 410,838.75 × 410,838.75
  4. Step 4: Simplify right side
    265,036.50x = 168,788,478,501.56
  5. Step 5: Solve for x
    x = 168,788,478,501.56/265,036.50
  6. Step 6: Final answer
    x = 636,849.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.