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Finding the Third Proportional to 333,906 and 742,458

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Solution

The third proportional to 333,906 and 742,458 is: 1,650,895.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,906 : 742,458 = 742,458 : x
  2. Step 2: Convert to fraction form
    333,906/742,458 = 742,458/x
  3. Step 3: Cross multiply
    333,906x = 742,458 × 742,458
  4. Step 4: Simplify right side
    333,906x = 551,243,881,764
  5. Step 5: Solve for x
    x = 551,243,881,764/333,906
  6. Step 6: Final answer
    x = 1,650,895.41

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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.