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Finding the Third Proportional to 432,844.50 and 646,842

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Solution

The third proportional to 432,844.50 and 646,842 is: 966,639.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,844.50 : 646,842 = 646,842 : x
  2. Step 2: Convert to fraction form
    432,844.50/646,842 = 646,842/x
  3. Step 3: Cross multiply
    432,844.50x = 646,842 × 646,842
  4. Step 4: Simplify right side
    432,844.50x = 418,404,572,964
  5. Step 5: Solve for x
    x = 418,404,572,964/432,844.50
  6. Step 6: Final answer
    x = 966,639.46

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