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Finding the Third Proportional to 375,009.75 and 535,875.75

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Solution

The third proportional to 375,009.75 and 535,875.75 is: 765,747.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,009.75 : 535,875.75 = 535,875.75 : x
  2. Step 2: Convert to fraction form
    375,009.75/535,875.75 = 535,875.75/x
  3. Step 3: Cross multiply
    375,009.75x = 535,875.75 × 535,875.75
  4. Step 4: Simplify right side
    375,009.75x = 287,162,819,438.06
  5. Step 5: Solve for x
    x = 287,162,819,438.06/375,009.75
  6. Step 6: Final answer
    x = 765,747.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.