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Finding the Third Proportional to 347,858 and 507,024

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Solution

The third proportional to 347,858 and 507,024 is: 739,018.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,858 : 507,024 = 507,024 : x
  2. Step 2: Convert to fraction form
    347,858/507,024 = 507,024/x
  3. Step 3: Cross multiply
    347,858x = 507,024 × 507,024
  4. Step 4: Simplify right side
    347,858x = 257,073,336,576
  5. Step 5: Solve for x
    x = 257,073,336,576/347,858
  6. Step 6: Final answer
    x = 739,018.04

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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.