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Finding the Third Proportional to 375,921 and 575,789.63

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Solution

The third proportional to 375,921 and 575,789.63 is: 881,923.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,921 : 575,789.63 = 575,789.63 : x
  2. Step 2: Convert to fraction form
    375,921/575,789.63 = 575,789.63/x
  3. Step 3: Cross multiply
    375,921x = 575,789.63 × 575,789.63
  4. Step 4: Simplify right side
    375,921x = 331,533,692,257.64
  5. Step 5: Solve for x
    x = 331,533,692,257.64/375,921
  6. Step 6: Final answer
    x = 881,923.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.