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Finding the Third Proportional to 432,024 and 646,308

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Solution

The third proportional to 432,024 and 646,308 is: 966,876.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,024 : 646,308 = 646,308 : x
  2. Step 2: Convert to fraction form
    432,024/646,308 = 646,308/x
  3. Step 3: Cross multiply
    432,024x = 646,308 × 646,308
  4. Step 4: Simplify right side
    432,024x = 417,714,030,864
  5. Step 5: Solve for x
    x = 417,714,030,864/432,024
  6. Step 6: Final answer
    x = 966,876.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.