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Finding the Third Proportional to 459,744.50 and 713,532.75

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Solution

The third proportional to 459,744.50 and 713,532.75 is: 1,107,417.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,744.50 : 713,532.75 = 713,532.75 : x
  2. Step 2: Convert to fraction form
    459,744.50/713,532.75 = 713,532.75/x
  3. Step 3: Cross multiply
    459,744.50x = 713,532.75 × 713,532.75
  4. Step 4: Simplify right side
    459,744.50x = 509,128,985,322.56
  5. Step 5: Solve for x
    x = 509,128,985,322.56/459,744.50
  6. Step 6: Final answer
    x = 1,107,417.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.