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Finding the Third Proportional to 333,913 and 742,472

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Solution

The third proportional to 333,913 and 742,472 is: 1,650,923.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,913 : 742,472 = 742,472 : x
  2. Step 2: Convert to fraction form
    333,913/742,472 = 742,472/x
  3. Step 3: Cross multiply
    333,913x = 742,472 × 742,472
  4. Step 4: Simplify right side
    333,913x = 551,264,670,784
  5. Step 5: Solve for x
    x = 551,264,670,784/333,913
  6. Step 6: Final answer
    x = 1,650,923.06

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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.