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Finding the Third Proportional to 350,254 and 554,703.50

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Solution

The third proportional to 350,254 and 554,703.50 is: 878,493.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,254 : 554,703.50 = 554,703.50 : x
  2. Step 2: Convert to fraction form
    350,254/554,703.50 = 554,703.50/x
  3. Step 3: Cross multiply
    350,254x = 554,703.50 × 554,703.50
  4. Step 4: Simplify right side
    350,254x = 307,695,972,912.25
  5. Step 5: Solve for x
    x = 307,695,972,912.25/350,254
  6. Step 6: Final answer
    x = 878,493.82

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.