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Finding the Third Proportional to 344,216 and 495,768

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Solution

The third proportional to 344,216 and 495,768 is: 714,045.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,216 : 495,768 = 495,768 : x
  2. Step 2: Convert to fraction form
    344,216/495,768 = 495,768/x
  3. Step 3: Cross multiply
    344,216x = 495,768 × 495,768
  4. Step 4: Simplify right side
    344,216x = 245,785,909,824
  5. Step 5: Solve for x
    x = 245,785,909,824/344,216
  6. Step 6: Final answer
    x = 714,045.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.