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Finding the Third Proportional to 333,119 and 437,358

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Solution

The third proportional to 333,119 and 437,358 is: 574,215.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,119 : 437,358 = 437,358 : x
  2. Step 2: Convert to fraction form
    333,119/437,358 = 437,358/x
  3. Step 3: Cross multiply
    333,119x = 437,358 × 437,358
  4. Step 4: Simplify right side
    333,119x = 191,282,020,164
  5. Step 5: Solve for x
    x = 191,282,020,164/333,119
  6. Step 6: Final answer
    x = 574,215.28

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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.