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Finding the Third Proportional to 231,312.50 and 535,456

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Solution

The third proportional to 231,312.50 and 535,456 is: 1,239,505.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,312.50 : 535,456 = 535,456 : x
  2. Step 2: Convert to fraction form
    231,312.50/535,456 = 535,456/x
  3. Step 3: Cross multiply
    231,312.50x = 535,456 × 535,456
  4. Step 4: Simplify right side
    231,312.50x = 286,713,127,936
  5. Step 5: Solve for x
    x = 286,713,127,936/231,312.50
  6. Step 6: Final answer
    x = 1,239,505.55

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.