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Finding the Third Proportional to 581,738 and 853,455

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Solution

The third proportional to 581,738 and 853,455 is: 1,252,085.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,738 : 853,455 = 853,455 : x
  2. Step 2: Convert to fraction form
    581,738/853,455 = 853,455/x
  3. Step 3: Cross multiply
    581,738x = 853,455 × 853,455
  4. Step 4: Simplify right side
    581,738x = 728,385,437,025
  5. Step 5: Solve for x
    x = 728,385,437,025/581,738
  6. Step 6: Final answer
    x = 1,252,085.02

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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.