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Finding the Third Proportional to 576,143.50 and 829,957.25

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Solution

The third proportional to 576,143.50 and 829,957.25 is: 1,195,585.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,143.50 : 829,957.25 = 829,957.25 : x
  2. Step 2: Convert to fraction form
    576,143.50/829,957.25 = 829,957.25/x
  3. Step 3: Cross multiply
    576,143.50x = 829,957.25 × 829,957.25
  4. Step 4: Simplify right side
    576,143.50x = 688,829,036,827.56
  5. Step 5: Solve for x
    x = 688,829,036,827.56/576,143.50
  6. Step 6: Final answer
    x = 1,195,585.89

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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.