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Finding the Third Proportional to 361,111 and 780,040

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Solution

The third proportional to 361,111 and 780,040 is: 1,684,973.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,111 : 780,040 = 780,040 : x
  2. Step 2: Convert to fraction form
    361,111/780,040 = 780,040/x
  3. Step 3: Cross multiply
    361,111x = 780,040 × 780,040
  4. Step 4: Simplify right side
    361,111x = 608,462,401,600
  5. Step 5: Solve for x
    x = 608,462,401,600/361,111
  6. Step 6: Final answer
    x = 1,684,973.32

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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.