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Finding the Third Proportional to 291,624 and 417,024

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Solution

The third proportional to 291,624 and 417,024 is: 596,346.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,624 : 417,024 = 417,024 : x
  2. Step 2: Convert to fraction form
    291,624/417,024 = 417,024/x
  3. Step 3: Cross multiply
    291,624x = 417,024 × 417,024
  4. Step 4: Simplify right side
    291,624x = 173,909,016,576
  5. Step 5: Solve for x
    x = 173,909,016,576/291,624
  6. Step 6: Final answer
    x = 596,346.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.