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Finding the Third Proportional to 361,036 and 540,784.50

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Solution

The third proportional to 361,036 and 540,784.50 is: 810,024.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,036 : 540,784.50 = 540,784.50 : x
  2. Step 2: Convert to fraction form
    361,036/540,784.50 = 540,784.50/x
  3. Step 3: Cross multiply
    361,036x = 540,784.50 × 540,784.50
  4. Step 4: Simplify right side
    361,036x = 292,447,875,440.25
  5. Step 5: Solve for x
    x = 292,447,875,440.25/361,036
  6. Step 6: Final answer
    x = 810,024.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.