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Finding the Third Proportional to 380,595.66 and 535,488.75

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Solution

The third proportional to 380,595.66 and 535,488.75 is: 753,419.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,595.66 : 535,488.75 = 535,488.75 : x
  2. Step 2: Convert to fraction form
    380,595.66/535,488.75 = 535,488.75/x
  3. Step 3: Cross multiply
    380,595.66x = 535,488.75 × 535,488.75
  4. Step 4: Simplify right side
    380,595.66x = 286,748,201,376.56
  5. Step 5: Solve for x
    x = 286,748,201,376.56/380,595.66
  6. Step 6: Final answer
    x = 753,419.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.