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Finding the Third Proportional to 334,136 and 482,769

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Solution

The third proportional to 334,136 and 482,769 is: 697,518.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,136 : 482,769 = 482,769 : x
  2. Step 2: Convert to fraction form
    334,136/482,769 = 482,769/x
  3. Step 3: Cross multiply
    334,136x = 482,769 × 482,769
  4. Step 4: Simplify right side
    334,136x = 233,065,907,361
  5. Step 5: Solve for x
    x = 233,065,907,361/334,136
  6. Step 6: Final answer
    x = 697,518.10

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.