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Finding the Third Proportional to 373,066 and 805,696

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Solution

The third proportional to 373,066 and 805,696 is: 1,740,030.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,066 : 805,696 = 805,696 : x
  2. Step 2: Convert to fraction form
    373,066/805,696 = 805,696/x
  3. Step 3: Cross multiply
    373,066x = 805,696 × 805,696
  4. Step 4: Simplify right side
    373,066x = 649,146,044,416
  5. Step 5: Solve for x
    x = 649,146,044,416/373,066
  6. Step 6: Final answer
    x = 1,740,030.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.