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Finding the Third Proportional to 297,513 and 459,391.50

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Solution

The third proportional to 297,513 and 459,391.50 is: 709,349.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,513 : 459,391.50 = 459,391.50 : x
  2. Step 2: Convert to fraction form
    297,513/459,391.50 = 459,391.50/x
  3. Step 3: Cross multiply
    297,513x = 459,391.50 × 459,391.50
  4. Step 4: Simplify right side
    297,513x = 211,040,550,272.25
  5. Step 5: Solve for x
    x = 211,040,550,272.25/297,513
  6. Step 6: Final answer
    x = 709,349.00

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.