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Finding the Third Proportional to 537,624 and 794,097

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Solution

The third proportional to 537,624 and 794,097 is: 1,172,920.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,624 : 794,097 = 794,097 : x
  2. Step 2: Convert to fraction form
    537,624/794,097 = 794,097/x
  3. Step 3: Cross multiply
    537,624x = 794,097 × 794,097
  4. Step 4: Simplify right side
    537,624x = 630,590,045,409
  5. Step 5: Solve for x
    x = 630,590,045,409/537,624
  6. Step 6: Final answer
    x = 1,172,920.19

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.