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Finding the Third Proportional to 376,050.09 and 565,871.06

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Solution

The third proportional to 376,050.09 and 565,871.06 is: 851,509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,050.09 : 565,871.06 = 565,871.06 : x
  2. Step 2: Convert to fraction form
    376,050.09/565,871.06 = 565,871.06/x
  3. Step 3: Cross multiply
    376,050.09x = 565,871.06 × 565,871.06
  4. Step 4: Simplify right side
    376,050.09x = 320,210,059,374.88
  5. Step 5: Solve for x
    x = 320,210,059,374.88/376,050.09
  6. Step 6: Final answer
    x = 851,509.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.