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Finding the Third Proportional to 333,806 and 742,246

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Solution

The third proportional to 333,806 and 742,246 is: 1,650,447.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,806 : 742,246 = 742,246 : x
  2. Step 2: Convert to fraction form
    333,806/742,246 = 742,246/x
  3. Step 3: Cross multiply
    333,806x = 742,246 × 742,246
  4. Step 4: Simplify right side
    333,806x = 550,929,124,516
  5. Step 5: Solve for x
    x = 550,929,124,516/333,806
  6. Step 6: Final answer
    x = 1,650,447.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.