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Finding the Third Proportional to 259,594 and 379,535

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Solution

The third proportional to 259,594 and 379,535 is: 554,892.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,594 : 379,535 = 379,535 : x
  2. Step 2: Convert to fraction form
    259,594/379,535 = 379,535/x
  3. Step 3: Cross multiply
    259,594x = 379,535 × 379,535
  4. Step 4: Simplify right side
    259,594x = 144,046,816,225
  5. Step 5: Solve for x
    x = 144,046,816,225/259,594
  6. Step 6: Final answer
    x = 554,892.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.