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Finding the Third Proportional to 264,562 and 624,407

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Solution

The third proportional to 264,562 and 624,407 is: 1,473,696.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,562 : 624,407 = 624,407 : x
  2. Step 2: Convert to fraction form
    264,562/624,407 = 624,407/x
  3. Step 3: Cross multiply
    264,562x = 624,407 × 624,407
  4. Step 4: Simplify right side
    264,562x = 389,884,101,649
  5. Step 5: Solve for x
    x = 389,884,101,649/264,562
  6. Step 6: Final answer
    x = 1,473,696.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.