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Finding the Third Proportional to 272,403 and 420,088.50

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Solution

The third proportional to 272,403 and 420,088.50 is: 647,842.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,403 : 420,088.50 = 420,088.50 : x
  2. Step 2: Convert to fraction form
    272,403/420,088.50 = 420,088.50/x
  3. Step 3: Cross multiply
    272,403x = 420,088.50 × 420,088.50
  4. Step 4: Simplify right side
    272,403x = 176,474,347,832.25
  5. Step 5: Solve for x
    x = 176,474,347,832.25/272,403
  6. Step 6: Final answer
    x = 647,842.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.