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Finding the Third Proportional to 459,154.50 and 723,945

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Solution

The third proportional to 459,154.50 and 723,945 is: 1,141,437.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,154.50 : 723,945 = 723,945 : x
  2. Step 2: Convert to fraction form
    459,154.50/723,945 = 723,945/x
  3. Step 3: Cross multiply
    459,154.50x = 723,945 × 723,945
  4. Step 4: Simplify right side
    459,154.50x = 524,096,363,025
  5. Step 5: Solve for x
    x = 524,096,363,025/459,154.50
  6. Step 6: Final answer
    x = 1,141,437.93

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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.