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Finding the Third Proportional to 367,312 and 805,040

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Solution

The third proportional to 367,312 and 805,040 is: 1,764,411.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,312 : 805,040 = 805,040 : x
  2. Step 2: Convert to fraction form
    367,312/805,040 = 805,040/x
  3. Step 3: Cross multiply
    367,312x = 805,040 × 805,040
  4. Step 4: Simplify right side
    367,312x = 648,089,401,600
  5. Step 5: Solve for x
    x = 648,089,401,600/367,312
  6. Step 6: Final answer
    x = 1,764,411.19

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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.