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Finding the Third Proportional to 325,417.50 and 675,432

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Solution

The third proportional to 325,417.50 and 675,432 is: 1,401,917.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,417.50 : 675,432 = 675,432 : x
  2. Step 2: Convert to fraction form
    325,417.50/675,432 = 675,432/x
  3. Step 3: Cross multiply
    325,417.50x = 675,432 × 675,432
  4. Step 4: Simplify right side
    325,417.50x = 456,208,386,624
  5. Step 5: Solve for x
    x = 456,208,386,624/325,417.50
  6. Step 6: Final answer
    x = 1,401,917.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.