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Finding the Third Proportional to 255,084 and 556,095

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Solution

The third proportional to 255,084 and 556,095 is: 1,212,313.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,084 : 556,095 = 556,095 : x
  2. Step 2: Convert to fraction form
    255,084/556,095 = 556,095/x
  3. Step 3: Cross multiply
    255,084x = 556,095 × 556,095
  4. Step 4: Simplify right side
    255,084x = 309,241,649,025
  5. Step 5: Solve for x
    x = 309,241,649,025/255,084
  6. Step 6: Final answer
    x = 1,212,313.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.