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Finding the Third Proportional to 264,486.09 and 624,248.86

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Solution

The third proportional to 264,486.09 and 624,248.86 is: 1,473,372.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,486.09 : 624,248.86 = 624,248.86 : x
  2. Step 2: Convert to fraction form
    264,486.09/624,248.86 = 624,248.86/x
  3. Step 3: Cross multiply
    264,486.09x = 624,248.86 × 624,248.86
  4. Step 4: Simplify right side
    264,486.09x = 389,686,638,430.99
  5. Step 5: Solve for x
    x = 389,686,638,430.99/264,486.09
  6. Step 6: Final answer
    x = 1,473,372.88

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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.