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Finding the Third Proportional to 654,459.75 and 960,143.63

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Solution

The third proportional to 654,459.75 and 960,143.63 is: 1,408,605.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,459.75 : 960,143.63 = 960,143.63 : x
  2. Step 2: Convert to fraction form
    654,459.75/960,143.63 = 960,143.63/x
  3. Step 3: Cross multiply
    654,459.75x = 960,143.63 × 960,143.63
  4. Step 4: Simplify right side
    654,459.75x = 921,875,780,628.14
  5. Step 5: Solve for x
    x = 921,875,780,628.14/654,459.75
  6. Step 6: Final answer
    x = 1,408,605.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.