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Finding the Third Proportional to 376,176 and 510,318

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Solution

The third proportional to 376,176 and 510,318 is: 692,294.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,176 : 510,318 = 510,318 : x
  2. Step 2: Convert to fraction form
    376,176/510,318 = 510,318/x
  3. Step 3: Cross multiply
    376,176x = 510,318 × 510,318
  4. Step 4: Simplify right side
    376,176x = 260,424,461,124
  5. Step 5: Solve for x
    x = 260,424,461,124/376,176
  6. Step 6: Final answer
    x = 692,294.20

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.