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Finding the Third Proportional to 591,480 and 926,646.75

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Solution

The third proportional to 591,480 and 926,646.75 is: 1,451,738.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,480 : 926,646.75 = 926,646.75 : x
  2. Step 2: Convert to fraction form
    591,480/926,646.75 = 926,646.75/x
  3. Step 3: Cross multiply
    591,480x = 926,646.75 × 926,646.75
  4. Step 4: Simplify right side
    591,480x = 858,674,199,285.56
  5. Step 5: Solve for x
    x = 858,674,199,285.56/591,480
  6. Step 6: Final answer
    x = 1,451,738.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.