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Finding the Third Proportional to 364,336 and 509,482

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Solution

The third proportional to 364,336 and 509,482 is: 712,451.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,336 : 509,482 = 509,482 : x
  2. Step 2: Convert to fraction form
    364,336/509,482 = 509,482/x
  3. Step 3: Cross multiply
    364,336x = 509,482 × 509,482
  4. Step 4: Simplify right side
    364,336x = 259,571,908,324
  5. Step 5: Solve for x
    x = 259,571,908,324/364,336
  6. Step 6: Final answer
    x = 712,451.99

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.