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Finding the Third Proportional to 576,142 and 829,953

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Solution

The third proportional to 576,142 and 829,953 is: 1,195,576.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,142 : 829,953 = 829,953 : x
  2. Step 2: Convert to fraction form
    576,142/829,953 = 829,953/x
  3. Step 3: Cross multiply
    576,142x = 829,953 × 829,953
  4. Step 4: Simplify right side
    576,142x = 688,821,982,209
  5. Step 5: Solve for x
    x = 688,821,982,209/576,142
  6. Step 6: Final answer
    x = 1,195,576.75

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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.