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Finding the Third Proportional to 301,452.89 and 652,113.28

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Solution

The third proportional to 301,452.89 and 652,113.28 is: 1,410,673.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,452.89 : 652,113.28 = 652,113.28 : x
  2. Step 2: Convert to fraction form
    301,452.89/652,113.28 = 652,113.28/x
  3. Step 3: Cross multiply
    301,452.89x = 652,113.28 × 652,113.28
  4. Step 4: Simplify right side
    301,452.89x = 425,251,731,582.64
  5. Step 5: Solve for x
    x = 425,251,731,582.64/301,452.89
  6. Step 6: Final answer
    x = 1,410,673.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.