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Finding the Third Proportional to 458,616 and 660,574

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Solution

The third proportional to 458,616 and 660,574 is: 951,467.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,616 : 660,574 = 660,574 : x
  2. Step 2: Convert to fraction form
    458,616/660,574 = 660,574/x
  3. Step 3: Cross multiply
    458,616x = 660,574 × 660,574
  4. Step 4: Simplify right side
    458,616x = 436,358,009,476
  5. Step 5: Solve for x
    x = 436,358,009,476/458,616
  6. Step 6: Final answer
    x = 951,467.04

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.