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Finding the Third Proportional to 272,038.50 and 414,076.50

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Solution

The third proportional to 272,038.50 and 414,076.50 is: 630,276.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,038.50 : 414,076.50 = 414,076.50 : x
  2. Step 2: Convert to fraction form
    272,038.50/414,076.50 = 414,076.50/x
  3. Step 3: Cross multiply
    272,038.50x = 414,076.50 × 414,076.50
  4. Step 4: Simplify right side
    272,038.50x = 171,459,347,852.25
  5. Step 5: Solve for x
    x = 171,459,347,852.25/272,038.50
  6. Step 6: Final answer
    x = 630,276.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.