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Finding the Third Proportional to 576,060.19 and 829,792.69

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Solution

The third proportional to 576,060.19 and 829,792.69 is: 1,195,284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,060.19 : 829,792.69 = 829,792.69 : x
  2. Step 2: Convert to fraction form
    576,060.19/829,792.69 = 829,792.69/x
  3. Step 3: Cross multiply
    576,060.19x = 829,792.69 × 829,792.69
  4. Step 4: Simplify right side
    576,060.19x = 688,555,904,228.47
  5. Step 5: Solve for x
    x = 688,555,904,228.47/576,060.19
  6. Step 6: Final answer
    x = 1,195,284.66

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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.