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Finding the Third Proportional to 229,447 and 492,108.50

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Solution

The third proportional to 229,447 and 492,108.50 is: 1,055,454.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,447 : 492,108.50 = 492,108.50 : x
  2. Step 2: Convert to fraction form
    229,447/492,108.50 = 492,108.50/x
  3. Step 3: Cross multiply
    229,447x = 492,108.50 × 492,108.50
  4. Step 4: Simplify right side
    229,447x = 242,170,775,772.25
  5. Step 5: Solve for x
    x = 242,170,775,772.25/229,447
  6. Step 6: Final answer
    x = 1,055,454.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.