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Finding the Third Proportional to 570,242 and 882,867

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Solution

The third proportional to 570,242 and 882,867 is: 1,366,883.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,242 : 882,867 = 882,867 : x
  2. Step 2: Convert to fraction form
    570,242/882,867 = 882,867/x
  3. Step 3: Cross multiply
    570,242x = 882,867 × 882,867
  4. Step 4: Simplify right side
    570,242x = 779,454,139,689
  5. Step 5: Solve for x
    x = 779,454,139,689/570,242
  6. Step 6: Final answer
    x = 1,366,883.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.