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Finding the Third Proportional to 343,370 and 505,128

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Solution

The third proportional to 343,370 and 505,128 is: 743,088.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,370 : 505,128 = 505,128 : x
  2. Step 2: Convert to fraction form
    343,370/505,128 = 505,128/x
  3. Step 3: Cross multiply
    343,370x = 505,128 × 505,128
  4. Step 4: Simplify right side
    343,370x = 255,154,296,384
  5. Step 5: Solve for x
    x = 255,154,296,384/343,370
  6. Step 6: Final answer
    x = 743,088.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.