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Finding the Third Proportional to 276,294 and 495,726

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Solution

The third proportional to 276,294 and 495,726 is: 889,430.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,294 : 495,726 = 495,726 : x
  2. Step 2: Convert to fraction form
    276,294/495,726 = 495,726/x
  3. Step 3: Cross multiply
    276,294x = 495,726 × 495,726
  4. Step 4: Simplify right side
    276,294x = 245,744,267,076
  5. Step 5: Solve for x
    x = 245,744,267,076/276,294
  6. Step 6: Final answer
    x = 889,430.34

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.