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Finding the Third Proportional to 458,952 and 661,020

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Solution

The third proportional to 458,952 and 661,020 is: 952,054.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,952 : 661,020 = 661,020 : x
  2. Step 2: Convert to fraction form
    458,952/661,020 = 661,020/x
  3. Step 3: Cross multiply
    458,952x = 661,020 × 661,020
  4. Step 4: Simplify right side
    458,952x = 436,947,440,400
  5. Step 5: Solve for x
    x = 436,947,440,400/458,952
  6. Step 6: Final answer
    x = 952,054.77

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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.