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Finding the Third Proportional to 444,948.75 and 921,442.50

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Solution

The third proportional to 444,948.75 and 921,442.50 is: 1,908,211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,948.75 : 921,442.50 = 921,442.50 : x
  2. Step 2: Convert to fraction form
    444,948.75/921,442.50 = 921,442.50/x
  3. Step 3: Cross multiply
    444,948.75x = 921,442.50 × 921,442.50
  4. Step 4: Simplify right side
    444,948.75x = 849,056,280,806.25
  5. Step 5: Solve for x
    x = 849,056,280,806.25/444,948.75
  6. Step 6: Final answer
    x = 1,908,211.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.