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Finding the Third Proportional to 297,495 and 453,216

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Solution

The third proportional to 297,495 and 453,216 is: 690,447.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,495 : 453,216 = 453,216 : x
  2. Step 2: Convert to fraction form
    297,495/453,216 = 453,216/x
  3. Step 3: Cross multiply
    297,495x = 453,216 × 453,216
  4. Step 4: Simplify right side
    297,495x = 205,404,742,656
  5. Step 5: Solve for x
    x = 205,404,742,656/297,495
  6. Step 6: Final answer
    x = 690,447.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.