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Finding the Third Proportional to 459,239 and 724,078.50

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Solution

The third proportional to 459,239 and 724,078.50 is: 1,141,648.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,239 : 724,078.50 = 724,078.50 : x
  2. Step 2: Convert to fraction form
    459,239/724,078.50 = 724,078.50/x
  3. Step 3: Cross multiply
    459,239x = 724,078.50 × 724,078.50
  4. Step 4: Simplify right side
    459,239x = 524,289,674,162.25
  5. Step 5: Solve for x
    x = 524,289,674,162.25/459,239
  6. Step 6: Final answer
    x = 1,141,648.85

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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.