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Finding the Third Proportional to 333,130 and 437,370

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Solution

The third proportional to 333,130 and 437,370 is: 574,227.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,130 : 437,370 = 437,370 : x
  2. Step 2: Convert to fraction form
    333,130/437,370 = 437,370/x
  3. Step 3: Cross multiply
    333,130x = 437,370 × 437,370
  4. Step 4: Simplify right side
    333,130x = 191,292,516,900
  5. Step 5: Solve for x
    x = 191,292,516,900/333,130
  6. Step 6: Final answer
    x = 574,227.83

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.