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Finding the Third Proportional to 416,196 and 623,154

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Solution

The third proportional to 416,196 and 623,154 is: 933,024.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,196 : 623,154 = 623,154 : x
  2. Step 2: Convert to fraction form
    416,196/623,154 = 623,154/x
  3. Step 3: Cross multiply
    416,196x = 623,154 × 623,154
  4. Step 4: Simplify right side
    416,196x = 388,320,907,716
  5. Step 5: Solve for x
    x = 388,320,907,716/416,196
  6. Step 6: Final answer
    x = 933,024.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.