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Finding the Third Proportional to 333,912 and 742,470

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Solution

The third proportional to 333,912 and 742,470 is: 1,650,919.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,912 : 742,470 = 742,470 : x
  2. Step 2: Convert to fraction form
    333,912/742,470 = 742,470/x
  3. Step 3: Cross multiply
    333,912x = 742,470 × 742,470
  4. Step 4: Simplify right side
    333,912x = 551,261,700,900
  5. Step 5: Solve for x
    x = 551,261,700,900/333,912
  6. Step 6: Final answer
    x = 1,650,919.11

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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.