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Finding the Third Proportional to 413,630 and 604,024

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Solution

The third proportional to 413,630 and 604,024 is: 882,056.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,630 : 604,024 = 604,024 : x
  2. Step 2: Convert to fraction form
    413,630/604,024 = 604,024/x
  3. Step 3: Cross multiply
    413,630x = 604,024 × 604,024
  4. Step 4: Simplify right side
    413,630x = 364,844,992,576
  5. Step 5: Solve for x
    x = 364,844,992,576/413,630
  6. Step 6: Final answer
    x = 882,056.41

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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.