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Finding the Third Proportional to 558,509.55 and 837,014.13

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Solution

The third proportional to 558,509.55 and 837,014.13 is: 1,254,396.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,509.55 : 837,014.13 = 837,014.13 : x
  2. Step 2: Convert to fraction form
    558,509.55/837,014.13 = 837,014.13/x
  3. Step 3: Cross multiply
    558,509.55x = 837,014.13 × 837,014.13
  4. Step 4: Simplify right side
    558,509.55x = 700,592,658,527.86
  5. Step 5: Solve for x
    x = 700,592,658,527.86/558,509.55
  6. Step 6: Final answer
    x = 1,254,396.91

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