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Finding the Third Proportional to 254,699 and 373,024

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Solution

The third proportional to 254,699 and 373,024 is: 546,319.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,699 : 373,024 = 373,024 : x
  2. Step 2: Convert to fraction form
    254,699/373,024 = 373,024/x
  3. Step 3: Cross multiply
    254,699x = 373,024 × 373,024
  4. Step 4: Simplify right side
    254,699x = 139,146,904,576
  5. Step 5: Solve for x
    x = 139,146,904,576/254,699
  6. Step 6: Final answer
    x = 546,319.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.