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Finding the Third Proportional to 492,053 and 735,515.50

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Solution

The third proportional to 492,053 and 735,515.50 is: 1,099,440.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,053 : 735,515.50 = 735,515.50 : x
  2. Step 2: Convert to fraction form
    492,053/735,515.50 = 735,515.50/x
  3. Step 3: Cross multiply
    492,053x = 735,515.50 × 735,515.50
  4. Step 4: Simplify right side
    492,053x = 540,983,050,740.25
  5. Step 5: Solve for x
    x = 540,983,050,740.25/492,053
  6. Step 6: Final answer
    x = 1,099,440.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.