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Finding the Third Proportional to 566,970 and 853,019

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Solution

The third proportional to 566,970 and 853,019 is: 1,283,386.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,970 : 853,019 = 853,019 : x
  2. Step 2: Convert to fraction form
    566,970/853,019 = 853,019/x
  3. Step 3: Cross multiply
    566,970x = 853,019 × 853,019
  4. Step 4: Simplify right side
    566,970x = 727,641,414,361
  5. Step 5: Solve for x
    x = 727,641,414,361/566,970
  6. Step 6: Final answer
    x = 1,283,386.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.