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Finding the Third Proportional to 229,624.50 and 362,045.25

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Solution

The third proportional to 229,624.50 and 362,045.25 is: 570,830.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,624.50 : 362,045.25 = 362,045.25 : x
  2. Step 2: Convert to fraction form
    229,624.50/362,045.25 = 362,045.25/x
  3. Step 3: Cross multiply
    229,624.50x = 362,045.25 × 362,045.25
  4. Step 4: Simplify right side
    229,624.50x = 131,076,763,047.56
  5. Step 5: Solve for x
    x = 131,076,763,047.56/229,624.50
  6. Step 6: Final answer
    x = 570,830.91

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.