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Finding the Third Proportional to 576,138.75 and 829,948.50

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Solution

The third proportional to 576,138.75 and 829,948.50 is: 1,195,570.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,138.75 : 829,948.50 = 829,948.50 : x
  2. Step 2: Convert to fraction form
    576,138.75/829,948.50 = 829,948.50/x
  3. Step 3: Cross multiply
    576,138.75x = 829,948.50 × 829,948.50
  4. Step 4: Simplify right side
    576,138.75x = 688,814,512,652.25
  5. Step 5: Solve for x
    x = 688,814,512,652.25/576,138.75
  6. Step 6: Final answer
    x = 1,195,570.53

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.