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Finding the Third Proportional to 530,687.50 and 1,165,628

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Solution

The third proportional to 530,687.50 and 1,165,628 is: 2,560,242.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,687.50 : 1,165,628 = 1,165,628 : x
  2. Step 2: Convert to fraction form
    530,687.50/1,165,628 = 1,165,628/x
  3. Step 3: Cross multiply
    530,687.50x = 1,165,628 × 1,165,628
  4. Step 4: Simplify right side
    530,687.50x = 1,358,688,634,384
  5. Step 5: Solve for x
    x = 1,358,688,634,384/530,687.50
  6. Step 6: Final answer
    x = 2,560,242.39

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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.