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Finding the Third Proportional to 220,461.75 and 475,915.50

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Solution

The third proportional to 220,461.75 and 475,915.50 is: 1,027,368.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,461.75 : 475,915.50 = 475,915.50 : x
  2. Step 2: Convert to fraction form
    220,461.75/475,915.50 = 475,915.50/x
  3. Step 3: Cross multiply
    220,461.75x = 475,915.50 × 475,915.50
  4. Step 4: Simplify right side
    220,461.75x = 226,495,563,140.25
  5. Step 5: Solve for x
    x = 226,495,563,140.25/220,461.75
  6. Step 6: Final answer
    x = 1,027,368.98

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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.