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Finding the Third Proportional to 261,302.63 and 572,400

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Solution

The third proportional to 261,302.63 and 572,400 is: 1,253,878.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,302.63 : 572,400 = 572,400 : x
  2. Step 2: Convert to fraction form
    261,302.63/572,400 = 572,400/x
  3. Step 3: Cross multiply
    261,302.63x = 572,400 × 572,400
  4. Step 4: Simplify right side
    261,302.63x = 327,641,760,000
  5. Step 5: Solve for x
    x = 327,641,760,000/261,302.63
  6. Step 6: Final answer
    x = 1,253,878.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.