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Finding the Third Proportional to 255,588 and 527,563.50

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Solution

The third proportional to 255,588 and 527,563.50 is: 1,088,952.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,588 : 527,563.50 = 527,563.50 : x
  2. Step 2: Convert to fraction form
    255,588/527,563.50 = 527,563.50/x
  3. Step 3: Cross multiply
    255,588x = 527,563.50 × 527,563.50
  4. Step 4: Simplify right side
    255,588x = 278,323,246,532.25
  5. Step 5: Solve for x
    x = 278,323,246,532.25/255,588
  6. Step 6: Final answer
    x = 1,088,952.72

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.