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Finding the Third Proportional to 261,804.50 and 564,793

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Solution

The third proportional to 261,804.50 and 564,793 is: 1,218,432.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,804.50 : 564,793 = 564,793 : x
  2. Step 2: Convert to fraction form
    261,804.50/564,793 = 564,793/x
  3. Step 3: Cross multiply
    261,804.50x = 564,793 × 564,793
  4. Step 4: Simplify right side
    261,804.50x = 318,991,132,849
  5. Step 5: Solve for x
    x = 318,991,132,849/261,804.50
  6. Step 6: Final answer
    x = 1,218,432.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.