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Finding the Third Proportional to 432,842 and 646,840

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Solution

The third proportional to 432,842 and 646,840 is: 966,639.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,842 : 646,840 = 646,840 : x
  2. Step 2: Convert to fraction form
    432,842/646,840 = 646,840/x
  3. Step 3: Cross multiply
    432,842x = 646,840 × 646,840
  4. Step 4: Simplify right side
    432,842x = 418,401,985,600
  5. Step 5: Solve for x
    x = 418,401,985,600/432,842
  6. Step 6: Final answer
    x = 966,639.06

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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.