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Finding the Third Proportional to 459,570 and 661,923

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Solution

The third proportional to 459,570 and 661,923 is: 953,373.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,570 : 661,923 = 661,923 : x
  2. Step 2: Convert to fraction form
    459,570/661,923 = 661,923/x
  3. Step 3: Cross multiply
    459,570x = 661,923 × 661,923
  4. Step 4: Simplify right side
    459,570x = 438,142,057,929
  5. Step 5: Solve for x
    x = 438,142,057,929/459,570
  6. Step 6: Final answer
    x = 953,373.93

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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.