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Finding the Third Proportional to 344,214 and 495,765

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Solution

The third proportional to 344,214 and 495,765 is: 714,041.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,214 : 495,765 = 495,765 : x
  2. Step 2: Convert to fraction form
    344,214/495,765 = 495,765/x
  3. Step 3: Cross multiply
    344,214x = 495,765 × 495,765
  4. Step 4: Simplify right side
    344,214x = 245,782,935,225
  5. Step 5: Solve for x
    x = 245,782,935,225/344,214
  6. Step 6: Final answer
    x = 714,041.08

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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.