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Finding the Third Proportional to 333,939 and 742,518

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Solution

The third proportional to 333,939 and 742,518 is: 1,650,999.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,939 : 742,518 = 742,518 : x
  2. Step 2: Convert to fraction form
    333,939/742,518 = 742,518/x
  3. Step 3: Cross multiply
    333,939x = 742,518 × 742,518
  4. Step 4: Simplify right side
    333,939x = 551,332,980,324
  5. Step 5: Solve for x
    x = 551,332,980,324/333,939
  6. Step 6: Final answer
    x = 1,650,999.08

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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.