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Finding the Third Proportional to 570,453.38 and 882,108.19

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Solution

The third proportional to 570,453.38 and 882,108.19 is: 1,364,028.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,453.38 : 882,108.19 = 882,108.19 : x
  2. Step 2: Convert to fraction form
    570,453.38/882,108.19 = 882,108.19/x
  3. Step 3: Cross multiply
    570,453.38x = 882,108.19 × 882,108.19
  4. Step 4: Simplify right side
    570,453.38x = 778,114,854,454.54
  5. Step 5: Solve for x
    x = 778,114,854,454.54/570,453.38
  6. Step 6: Final answer
    x = 1,364,028.84

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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.