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Finding the Third Proportional to 376,452 and 510,716

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Solution

The third proportional to 376,452 and 510,716 is: 692,866.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,452 : 510,716 = 510,716 : x
  2. Step 2: Convert to fraction form
    376,452/510,716 = 510,716/x
  3. Step 3: Cross multiply
    376,452x = 510,716 × 510,716
  4. Step 4: Simplify right side
    376,452x = 260,830,832,656
  5. Step 5: Solve for x
    x = 260,830,832,656/376,452
  6. Step 6: Final answer
    x = 692,866.11

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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.