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Finding the Third Proportional to 255,364 and 518,024

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Solution

The third proportional to 255,364 and 518,024 is: 1,050,848.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,364 : 518,024 = 518,024 : x
  2. Step 2: Convert to fraction form
    255,364/518,024 = 518,024/x
  3. Step 3: Cross multiply
    255,364x = 518,024 × 518,024
  4. Step 4: Simplify right side
    255,364x = 268,348,864,576
  5. Step 5: Solve for x
    x = 268,348,864,576/255,364
  6. Step 6: Final answer
    x = 1,050,848.45

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.