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Finding the Third Proportional to 230,784.50 and 484,894.50

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Solution

The third proportional to 230,784.50 and 484,894.50 is: 1,018,797.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,784.50 : 484,894.50 = 484,894.50 : x
  2. Step 2: Convert to fraction form
    230,784.50/484,894.50 = 484,894.50/x
  3. Step 3: Cross multiply
    230,784.50x = 484,894.50 × 484,894.50
  4. Step 4: Simplify right side
    230,784.50x = 235,122,676,130.25
  5. Step 5: Solve for x
    x = 235,122,676,130.25/230,784.50
  6. Step 6: Final answer
    x = 1,018,797.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.