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Finding the Third Proportional to 459,308 and 675,354

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Solution

The third proportional to 459,308 and 675,354 is: 993,022.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,308 : 675,354 = 675,354 : x
  2. Step 2: Convert to fraction form
    459,308/675,354 = 675,354/x
  3. Step 3: Cross multiply
    459,308x = 675,354 × 675,354
  4. Step 4: Simplify right side
    459,308x = 456,103,025,316
  5. Step 5: Solve for x
    x = 456,103,025,316/459,308
  6. Step 6: Final answer
    x = 993,022.17

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.