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Finding the Third Proportional to 333,726 and 719,940

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Solution

The third proportional to 333,726 and 719,940 is: 1,553,111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,726 : 719,940 = 719,940 : x
  2. Step 2: Convert to fraction form
    333,726/719,940 = 719,940/x
  3. Step 3: Cross multiply
    333,726x = 719,940 × 719,940
  4. Step 4: Simplify right side
    333,726x = 518,313,603,600
  5. Step 5: Solve for x
    x = 518,313,603,600/333,726
  6. Step 6: Final answer
    x = 1,553,111.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.