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Finding the Third Proportional to 343,148 and 495,033

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Solution

The third proportional to 343,148 and 495,033 is: 714,145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,148 : 495,033 = 495,033 : x
  2. Step 2: Convert to fraction form
    343,148/495,033 = 495,033/x
  3. Step 3: Cross multiply
    343,148x = 495,033 × 495,033
  4. Step 4: Simplify right side
    343,148x = 245,057,671,089
  5. Step 5: Solve for x
    x = 245,057,671,089/343,148
  6. Step 6: Final answer
    x = 714,145.71

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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.