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Finding the Third Proportional to 633,245.63 and 933,124.50

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Solution

The third proportional to 633,245.63 and 933,124.50 is: 1,375,013.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,245.63 : 933,124.50 = 933,124.50 : x
  2. Step 2: Convert to fraction form
    633,245.63/933,124.50 = 933,124.50/x
  3. Step 3: Cross multiply
    633,245.63x = 933,124.50 × 933,124.50
  4. Step 4: Simplify right side
    633,245.63x = 870,721,332,500.25
  5. Step 5: Solve for x
    x = 870,721,332,500.25/633,245.63
  6. Step 6: Final answer
    x = 1,375,013.58

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.