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Finding the Third Proportional to 543,026 and 714,082

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Solution

The third proportional to 543,026 and 714,082 is: 939,021.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,026 : 714,082 = 714,082 : x
  2. Step 2: Convert to fraction form
    543,026/714,082 = 714,082/x
  3. Step 3: Cross multiply
    543,026x = 714,082 × 714,082
  4. Step 4: Simplify right side
    543,026x = 509,913,102,724
  5. Step 5: Solve for x
    x = 509,913,102,724/543,026
  6. Step 6: Final answer
    x = 939,021.53

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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.