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Finding the Third Proportional to 333,834.75 and 742,297.50

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Solution

The third proportional to 333,834.75 and 742,297.50 is: 1,650,533.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,834.75 : 742,297.50 = 742,297.50 : x
  2. Step 2: Convert to fraction form
    333,834.75/742,297.50 = 742,297.50/x
  3. Step 3: Cross multiply
    333,834.75x = 742,297.50 × 742,297.50
  4. Step 4: Simplify right side
    333,834.75x = 551,005,578,506.25
  5. Step 5: Solve for x
    x = 551,005,578,506.25/333,834.75
  6. Step 6: Final answer
    x = 1,650,533.92

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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.