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Finding the Third Proportional to 415,263 and 593,820.75

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Solution

The third proportional to 415,263 and 593,820.75 is: 849,156.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,263 : 593,820.75 = 593,820.75 : x
  2. Step 2: Convert to fraction form
    415,263/593,820.75 = 593,820.75/x
  3. Step 3: Cross multiply
    415,263x = 593,820.75 × 593,820.75
  4. Step 4: Simplify right side
    415,263x = 352,623,083,130.56
  5. Step 5: Solve for x
    x = 352,623,083,130.56/415,263
  6. Step 6: Final answer
    x = 849,156.04

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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.