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Finding the Third Proportional to 229,653 and 492,529.50

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Solution

The third proportional to 229,653 and 492,529.50 is: 1,056,312.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,653 : 492,529.50 = 492,529.50 : x
  2. Step 2: Convert to fraction form
    229,653/492,529.50 = 492,529.50/x
  3. Step 3: Cross multiply
    229,653x = 492,529.50 × 492,529.50
  4. Step 4: Simplify right side
    229,653x = 242,585,308,370.25
  5. Step 5: Solve for x
    x = 242,585,308,370.25/229,653
  6. Step 6: Final answer
    x = 1,056,312.39

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