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Finding the Third Proportional to 280,675.13 and 535,501.13

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Solution

The third proportional to 280,675.13 and 535,501.13 is: 1,021,684.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,675.13 : 535,501.13 = 535,501.13 : x
  2. Step 2: Convert to fraction form
    280,675.13/535,501.13 = 535,501.13/x
  3. Step 3: Cross multiply
    280,675.13x = 535,501.13 × 535,501.13
  4. Step 4: Simplify right side
    280,675.13x = 286,761,454,876.27
  5. Step 5: Solve for x
    x = 286,761,454,876.27/280,675.13
  6. Step 6: Final answer
    x = 1,021,684.61

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.