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Finding the Third Proportional to 632,178 and 944,527.50

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Solution

The third proportional to 632,178 and 944,527.50 is: 1,411,204.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,178 : 944,527.50 = 944,527.50 : x
  2. Step 2: Convert to fraction form
    632,178/944,527.50 = 944,527.50/x
  3. Step 3: Cross multiply
    632,178x = 944,527.50 × 944,527.50
  4. Step 4: Simplify right side
    632,178x = 892,132,198,256.25
  5. Step 5: Solve for x
    x = 892,132,198,256.25/632,178
  6. Step 6: Final answer
    x = 1,411,204.12

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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.