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Finding the Third Proportional to 454,302 and 661,735

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Solution

The third proportional to 454,302 and 661,735 is: 963,881.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,302 : 661,735 = 661,735 : x
  2. Step 2: Convert to fraction form
    454,302/661,735 = 661,735/x
  3. Step 3: Cross multiply
    454,302x = 661,735 × 661,735
  4. Step 4: Simplify right side
    454,302x = 437,893,210,225
  5. Step 5: Solve for x
    x = 437,893,210,225/454,302
  6. Step 6: Final answer
    x = 963,881.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.