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Finding the Third Proportional to 264,915.56 and 573,539.06

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Solution

The third proportional to 264,915.56 and 573,539.06 is: 1,241,705.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,915.56 : 573,539.06 = 573,539.06 : x
  2. Step 2: Convert to fraction form
    264,915.56/573,539.06 = 573,539.06/x
  3. Step 3: Cross multiply
    264,915.56x = 573,539.06 × 573,539.06
  4. Step 4: Simplify right side
    264,915.56x = 328,947,056,213.38
  5. Step 5: Solve for x
    x = 328,947,056,213.38/264,915.56
  6. Step 6: Final answer
    x = 1,241,705.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.