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Finding the Third Proportional to 446,784 and 587,232

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Solution

The third proportional to 446,784 and 587,232 is: 771,830.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,784 : 587,232 = 587,232 : x
  2. Step 2: Convert to fraction form
    446,784/587,232 = 587,232/x
  3. Step 3: Cross multiply
    446,784x = 587,232 × 587,232
  4. Step 4: Simplify right side
    446,784x = 344,841,421,824
  5. Step 5: Solve for x
    x = 344,841,421,824/446,784
  6. Step 6: Final answer
    x = 771,830.28

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.