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Finding the Third Proportional to 444,088 and 658,477.50

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Solution

The third proportional to 444,088 and 658,477.50 is: 976,366.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,088 : 658,477.50 = 658,477.50 : x
  2. Step 2: Convert to fraction form
    444,088/658,477.50 = 658,477.50/x
  3. Step 3: Cross multiply
    444,088x = 658,477.50 × 658,477.50
  4. Step 4: Simplify right side
    444,088x = 433,592,618,006.25
  5. Step 5: Solve for x
    x = 433,592,618,006.25/444,088
  6. Step 6: Final answer
    x = 976,366.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.