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Finding the Third Proportional to 263,426.25 and 376,430.50

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Solution

The third proportional to 263,426.25 and 376,430.50 is: 537,911.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,426.25 : 376,430.50 = 376,430.50 : x
  2. Step 2: Convert to fraction form
    263,426.25/376,430.50 = 376,430.50/x
  3. Step 3: Cross multiply
    263,426.25x = 376,430.50 × 376,430.50
  4. Step 4: Simplify right side
    263,426.25x = 141,699,921,330.25
  5. Step 5: Solve for x
    x = 141,699,921,330.25/263,426.25
  6. Step 6: Final answer
    x = 537,911.17

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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.