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Finding the Third Proportional to 459,157.50 and 723,951

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Solution

The third proportional to 459,157.50 and 723,951 is: 1,141,449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,157.50 : 723,951 = 723,951 : x
  2. Step 2: Convert to fraction form
    459,157.50/723,951 = 723,951/x
  3. Step 3: Cross multiply
    459,157.50x = 723,951 × 723,951
  4. Step 4: Simplify right side
    459,157.50x = 524,105,050,401
  5. Step 5: Solve for x
    x = 524,105,050,401/459,157.50
  6. Step 6: Final answer
    x = 1,141,449.39

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.