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Finding the Third Proportional to 546,153.75 and 1,188,175.50

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Solution

The third proportional to 546,153.75 and 1,188,175.50 is: 2,584,915.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,153.75 : 1,188,175.50 = 1,188,175.50 : x
  2. Step 2: Convert to fraction form
    546,153.75/1,188,175.50 = 1,188,175.50/x
  3. Step 3: Cross multiply
    546,153.75x = 1,188,175.50 × 1,188,175.50
  4. Step 4: Simplify right side
    546,153.75x = 1,411,761,018,800.25
  5. Step 5: Solve for x
    x = 1,411,761,018,800.25/546,153.75
  6. Step 6: Final answer
    x = 2,584,915.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.