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Finding the Third Proportional to 286,002 and 546,030

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Solution

The third proportional to 286,002 and 546,030 is: 1,042,470.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,002 : 546,030 = 546,030 : x
  2. Step 2: Convert to fraction form
    286,002/546,030 = 546,030/x
  3. Step 3: Cross multiply
    286,002x = 546,030 × 546,030
  4. Step 4: Simplify right side
    286,002x = 298,148,760,900
  5. Step 5: Solve for x
    x = 298,148,760,900/286,002
  6. Step 6: Final answer
    x = 1,042,470.89

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.