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Finding the Third Proportional to 333,552 and 680,688

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Solution

The third proportional to 333,552 and 680,688 is: 1,389,097.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,552 : 680,688 = 680,688 : x
  2. Step 2: Convert to fraction form
    333,552/680,688 = 680,688/x
  3. Step 3: Cross multiply
    333,552x = 680,688 × 680,688
  4. Step 4: Simplify right side
    333,552x = 463,336,153,344
  5. Step 5: Solve for x
    x = 463,336,153,344/333,552
  6. Step 6: Final answer
    x = 1,389,097.21

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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.