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Finding the Third Proportional to 374,004 and 811,416

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Solution

The third proportional to 374,004 and 811,416 is: 1,760,398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,004 : 811,416 = 811,416 : x
  2. Step 2: Convert to fraction form
    374,004/811,416 = 811,416/x
  3. Step 3: Cross multiply
    374,004x = 811,416 × 811,416
  4. Step 4: Simplify right side
    374,004x = 658,395,925,056
  5. Step 5: Solve for x
    x = 658,395,925,056/374,004
  6. Step 6: Final answer
    x = 1,760,398.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.