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Finding the Third Proportional to 246,955 and 505,572

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Solution

The third proportional to 246,955 and 505,572 is: 1,035,018.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,955 : 505,572 = 505,572 : x
  2. Step 2: Convert to fraction form
    246,955/505,572 = 505,572/x
  3. Step 3: Cross multiply
    246,955x = 505,572 × 505,572
  4. Step 4: Simplify right side
    246,955x = 255,603,047,184
  5. Step 5: Solve for x
    x = 255,603,047,184/246,955
  6. Step 6: Final answer
    x = 1,035,018.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.