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Finding the Third Proportional to 245,316 and 573,274

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Solution

The third proportional to 245,316 and 573,274 is: 1,339,672.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,316 : 573,274 = 573,274 : x
  2. Step 2: Convert to fraction form
    245,316/573,274 = 573,274/x
  3. Step 3: Cross multiply
    245,316x = 573,274 × 573,274
  4. Step 4: Simplify right side
    245,316x = 328,643,079,076
  5. Step 5: Solve for x
    x = 328,643,079,076/245,316
  6. Step 6: Final answer
    x = 1,339,672.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.