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Finding the Third Proportional to 387,466.50 and 849,696

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Solution

The third proportional to 387,466.50 and 849,696 is: 1,863,343.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,466.50 : 849,696 = 849,696 : x
  2. Step 2: Convert to fraction form
    387,466.50/849,696 = 849,696/x
  3. Step 3: Cross multiply
    387,466.50x = 849,696 × 849,696
  4. Step 4: Simplify right side
    387,466.50x = 721,983,292,416
  5. Step 5: Solve for x
    x = 721,983,292,416/387,466.50
  6. Step 6: Final answer
    x = 1,863,343.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.