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Finding the Third Proportional to 333,483 and 741,574

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Solution

The third proportional to 333,483 and 741,574 is: 1,649,055.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,483 : 741,574 = 741,574 : x
  2. Step 2: Convert to fraction form
    333,483/741,574 = 741,574/x
  3. Step 3: Cross multiply
    333,483x = 741,574 × 741,574
  4. Step 4: Simplify right side
    333,483x = 549,931,997,476
  5. Step 5: Solve for x
    x = 549,931,997,476/333,483
  6. Step 6: Final answer
    x = 1,649,055.57

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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.