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Finding the Third Proportional to 347,632 and 525,138

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Solution

The third proportional to 347,632 and 525,138 is: 793,281.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,632 : 525,138 = 525,138 : x
  2. Step 2: Convert to fraction form
    347,632/525,138 = 525,138/x
  3. Step 3: Cross multiply
    347,632x = 525,138 × 525,138
  4. Step 4: Simplify right side
    347,632x = 275,769,919,044
  5. Step 5: Solve for x
    x = 275,769,919,044/347,632
  6. Step 6: Final answer
    x = 793,281.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.