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Finding the Third Proportional to 264,563 and 624,409.50

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Solution

The third proportional to 264,563 and 624,409.50 is: 1,473,702.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,563 : 624,409.50 = 624,409.50 : x
  2. Step 2: Convert to fraction form
    264,563/624,409.50 = 624,409.50/x
  3. Step 3: Cross multiply
    264,563x = 624,409.50 × 624,409.50
  4. Step 4: Simplify right side
    264,563x = 389,887,223,690.25
  5. Step 5: Solve for x
    x = 389,887,223,690.25/264,563
  6. Step 6: Final answer
    x = 1,473,702.76

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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.