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Finding the Third Proportional to 543,146 and 798,082

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Solution

The third proportional to 543,146 and 798,082 is: 1,172,677.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,146 : 798,082 = 798,082 : x
  2. Step 2: Convert to fraction form
    543,146/798,082 = 798,082/x
  3. Step 3: Cross multiply
    543,146x = 798,082 × 798,082
  4. Step 4: Simplify right side
    543,146x = 636,934,878,724
  5. Step 5: Solve for x
    x = 636,934,878,724/543,146
  6. Step 6: Final answer
    x = 1,172,677.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.