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Finding the Third Proportional to 393,272 and 593,130

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Solution

The third proportional to 393,272 and 593,130 is: 894,554.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,272 : 593,130 = 593,130 : x
  2. Step 2: Convert to fraction form
    393,272/593,130 = 593,130/x
  3. Step 3: Cross multiply
    393,272x = 593,130 × 593,130
  4. Step 4: Simplify right side
    393,272x = 351,803,196,900
  5. Step 5: Solve for x
    x = 351,803,196,900/393,272
  6. Step 6: Final answer
    x = 894,554.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.