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Finding the Third Proportional to 262,128.66 and 573,320.53

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Solution

The third proportional to 262,128.66 and 573,320.53 is: 1,253,950.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,128.66 : 573,320.53 = 573,320.53 : x
  2. Step 2: Convert to fraction form
    262,128.66/573,320.53 = 573,320.53/x
  3. Step 3: Cross multiply
    262,128.66x = 573,320.53 × 573,320.53
  4. Step 4: Simplify right side
    262,128.66x = 328,696,431,552.78
  5. Step 5: Solve for x
    x = 328,696,431,552.78/262,128.66
  6. Step 6: Final answer
    x = 1,253,950.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.