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Finding the Third Proportional to 446,232 and 654,464

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Solution

The third proportional to 446,232 and 654,464 is: 959,866.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,232 : 654,464 = 654,464 : x
  2. Step 2: Convert to fraction form
    446,232/654,464 = 654,464/x
  3. Step 3: Cross multiply
    446,232x = 654,464 × 654,464
  4. Step 4: Simplify right side
    446,232x = 428,323,127,296
  5. Step 5: Solve for x
    x = 428,323,127,296/446,232
  6. Step 6: Final answer
    x = 959,866.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.