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Finding the Third Proportional to 758,223 and 1,140,412.50

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Solution

The third proportional to 758,223 and 1,140,412.50 is: 1,715,248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,223 : 1,140,412.50 = 1,140,412.50 : x
  2. Step 2: Convert to fraction form
    758,223/1,140,412.50 = 1,140,412.50/x
  3. Step 3: Cross multiply
    758,223x = 1,140,412.50 × 1,140,412.50
  4. Step 4: Simplify right side
    758,223x = 1,300,540,670,156.25
  5. Step 5: Solve for x
    x = 1,300,540,670,156.25/758,223
  6. Step 6: Final answer
    x = 1,715,248.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.