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Finding the Third Proportional to 432,850 and 646,852

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Solution

The third proportional to 432,850 and 646,852 is: 966,657.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,850 : 646,852 = 646,852 : x
  2. Step 2: Convert to fraction form
    432,850/646,852 = 646,852/x
  3. Step 3: Cross multiply
    432,850x = 646,852 × 646,852
  4. Step 4: Simplify right side
    432,850x = 418,417,509,904
  5. Step 5: Solve for x
    x = 418,417,509,904/432,850
  6. Step 6: Final answer
    x = 966,657.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.