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Finding the Third Proportional to 543,028 and 714,085

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Solution

The third proportional to 543,028 and 714,085 is: 939,025.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,028 : 714,085 = 714,085 : x
  2. Step 2: Convert to fraction form
    543,028/714,085 = 714,085/x
  3. Step 3: Cross multiply
    543,028x = 714,085 × 714,085
  4. Step 4: Simplify right side
    543,028x = 509,917,387,225
  5. Step 5: Solve for x
    x = 509,917,387,225/543,028
  6. Step 6: Final answer
    x = 939,025.96

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.