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Finding the Third Proportional to 417,073.50 and 671,539.50

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Solution

The third proportional to 417,073.50 and 671,539.50 is: 1,081,260.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,073.50 : 671,539.50 = 671,539.50 : x
  2. Step 2: Convert to fraction form
    417,073.50/671,539.50 = 671,539.50/x
  3. Step 3: Cross multiply
    417,073.50x = 671,539.50 × 671,539.50
  4. Step 4: Simplify right side
    417,073.50x = 450,965,300,060.25
  5. Step 5: Solve for x
    x = 450,965,300,060.25/417,073.50
  6. Step 6: Final answer
    x = 1,081,260.98

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.