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Finding the Third Proportional to 259,184 and 405,705

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Solution

The third proportional to 259,184 and 405,705 is: 635,056.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,184 : 405,705 = 405,705 : x
  2. Step 2: Convert to fraction form
    259,184/405,705 = 405,705/x
  3. Step 3: Cross multiply
    259,184x = 405,705 × 405,705
  4. Step 4: Simplify right side
    259,184x = 164,596,547,025
  5. Step 5: Solve for x
    x = 164,596,547,025/259,184
  6. Step 6: Final answer
    x = 635,056.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.