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Finding the Third Proportional to 297,602 and 417,155

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Solution

The third proportional to 297,602 and 417,155 is: 584,734.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,602 : 417,155 = 417,155 : x
  2. Step 2: Convert to fraction form
    297,602/417,155 = 417,155/x
  3. Step 3: Cross multiply
    297,602x = 417,155 × 417,155
  4. Step 4: Simplify right side
    297,602x = 174,018,294,025
  5. Step 5: Solve for x
    x = 174,018,294,025/297,602
  6. Step 6: Final answer
    x = 584,734.96

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.