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Finding the Third Proportional to 540,814.50 and 848,346

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Solution

The third proportional to 540,814.50 and 848,346 is: 1,330,753.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,814.50 : 848,346 = 848,346 : x
  2. Step 2: Convert to fraction form
    540,814.50/848,346 = 848,346/x
  3. Step 3: Cross multiply
    540,814.50x = 848,346 × 848,346
  4. Step 4: Simplify right side
    540,814.50x = 719,690,935,716
  5. Step 5: Solve for x
    x = 719,690,935,716/540,814.50
  6. Step 6: Final answer
    x = 1,330,753.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.