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Finding the Third Proportional to 274,196 and 583,312

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Solution

The third proportional to 274,196 and 583,312 is: 1,240,911.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,196 : 583,312 = 583,312 : x
  2. Step 2: Convert to fraction form
    274,196/583,312 = 583,312/x
  3. Step 3: Cross multiply
    274,196x = 583,312 × 583,312
  4. Step 4: Simplify right side
    274,196x = 340,252,889,344
  5. Step 5: Solve for x
    x = 340,252,889,344/274,196
  6. Step 6: Final answer
    x = 1,240,911.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.