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Finding the Third Proportional to 297,532 and 416,154

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Solution

The third proportional to 297,532 and 416,154 is: 582,068.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,532 : 416,154 = 416,154 : x
  2. Step 2: Convert to fraction form
    297,532/416,154 = 416,154/x
  3. Step 3: Cross multiply
    297,532x = 416,154 × 416,154
  4. Step 4: Simplify right side
    297,532x = 173,184,151,716
  5. Step 5: Solve for x
    x = 173,184,151,716/297,532
  6. Step 6: Final answer
    x = 582,068.99

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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.