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Finding the Third Proportional to 343,596 and 535,018

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Solution

The third proportional to 343,596 and 535,018 is: 833,083.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,596 : 535,018 = 535,018 : x
  2. Step 2: Convert to fraction form
    343,596/535,018 = 535,018/x
  3. Step 3: Cross multiply
    343,596x = 535,018 × 535,018
  4. Step 4: Simplify right side
    343,596x = 286,244,260,324
  5. Step 5: Solve for x
    x = 286,244,260,324/343,596
  6. Step 6: Final answer
    x = 833,083.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.