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Finding the Third Proportional to 301,821.19 and 423,029.25

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Solution

The third proportional to 301,821.19 and 423,029.25 is: 592,913.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,821.19 : 423,029.25 = 423,029.25 : x
  2. Step 2: Convert to fraction form
    301,821.19/423,029.25 = 423,029.25/x
  3. Step 3: Cross multiply
    301,821.19x = 423,029.25 × 423,029.25
  4. Step 4: Simplify right side
    301,821.19x = 178,953,746,355.56
  5. Step 5: Solve for x
    x = 178,953,746,355.56/301,821.19
  6. Step 6: Final answer
    x = 592,913.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.