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Finding the Third Proportional to 333,584 and 680,752

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Solution

The third proportional to 333,584 and 680,752 is: 1,389,225.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,584 : 680,752 = 680,752 : x
  2. Step 2: Convert to fraction form
    333,584/680,752 = 680,752/x
  3. Step 3: Cross multiply
    333,584x = 680,752 × 680,752
  4. Step 4: Simplify right side
    333,584x = 463,423,285,504
  5. Step 5: Solve for x
    x = 463,423,285,504/333,584
  6. Step 6: Final answer
    x = 1,389,225.16

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.