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Finding the Third Proportional to 576,132.75 and 829,938.66

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Solution

The third proportional to 576,132.75 and 829,938.66 is: 1,195,554.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,132.75 : 829,938.66 = 829,938.66 : x
  2. Step 2: Convert to fraction form
    576,132.75/829,938.66 = 829,938.66/x
  3. Step 3: Cross multiply
    576,132.75x = 829,938.66 × 829,938.66
  4. Step 4: Simplify right side
    576,132.75x = 688,798,173,138.06
  5. Step 5: Solve for x
    x = 688,798,173,138.06/576,132.75
  6. Step 6: Final answer
    x = 1,195,554.62

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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.