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Finding the Third Proportional to 291,264 and 623,014

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Solution

The third proportional to 291,264 and 623,014 is: 1,332,627.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,264 : 623,014 = 623,014 : x
  2. Step 2: Convert to fraction form
    291,264/623,014 = 623,014/x
  3. Step 3: Cross multiply
    291,264x = 623,014 × 623,014
  4. Step 4: Simplify right side
    291,264x = 388,146,444,196
  5. Step 5: Solve for x
    x = 388,146,444,196/291,264
  6. Step 6: Final answer
    x = 1,332,627.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.