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Finding the Third Proportional to 413,617.50 and 569,574.50

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Solution

The third proportional to 413,617.50 and 569,574.50 is: 784,336.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,617.50 : 569,574.50 = 569,574.50 : x
  2. Step 2: Convert to fraction form
    413,617.50/569,574.50 = 569,574.50/x
  3. Step 3: Cross multiply
    413,617.50x = 569,574.50 × 569,574.50
  4. Step 4: Simplify right side
    413,617.50x = 324,415,111,050.25
  5. Step 5: Solve for x
    x = 324,415,111,050.25/413,617.50
  6. Step 6: Final answer
    x = 784,336.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.