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Finding the Third Proportional to 261,946.50 and 575,331

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Solution

The third proportional to 261,946.50 and 575,331 is: 1,263,638.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,946.50 : 575,331 = 575,331 : x
  2. Step 2: Convert to fraction form
    261,946.50/575,331 = 575,331/x
  3. Step 3: Cross multiply
    261,946.50x = 575,331 × 575,331
  4. Step 4: Simplify right side
    261,946.50x = 331,005,759,561
  5. Step 5: Solve for x
    x = 331,005,759,561/261,946.50
  6. Step 6: Final answer
    x = 1,263,638.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.