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Finding the Third Proportional to 297,594 and 425,390

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Solution

The third proportional to 297,594 and 425,390 is: 608,065.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,594 : 425,390 = 425,390 : x
  2. Step 2: Convert to fraction form
    297,594/425,390 = 425,390/x
  3. Step 3: Cross multiply
    297,594x = 425,390 × 425,390
  4. Step 4: Simplify right side
    297,594x = 180,956,652,100
  5. Step 5: Solve for x
    x = 180,956,652,100/297,594
  6. Step 6: Final answer
    x = 608,065.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.