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Finding the Third Proportional to 334,008 and 509,436

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Solution

The third proportional to 334,008 and 509,436 is: 777,002.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,008 : 509,436 = 509,436 : x
  2. Step 2: Convert to fraction form
    334,008/509,436 = 509,436/x
  3. Step 3: Cross multiply
    334,008x = 509,436 × 509,436
  4. Step 4: Simplify right side
    334,008x = 259,525,038,096
  5. Step 5: Solve for x
    x = 259,525,038,096/334,008
  6. Step 6: Final answer
    x = 777,002.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.