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Finding the Third Proportional to 366,140.25 and 532,413

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Solution

The third proportional to 366,140.25 and 532,413 is: 774,194.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,140.25 : 532,413 = 532,413 : x
  2. Step 2: Convert to fraction form
    366,140.25/532,413 = 532,413/x
  3. Step 3: Cross multiply
    366,140.25x = 532,413 × 532,413
  4. Step 4: Simplify right side
    366,140.25x = 283,463,602,569
  5. Step 5: Solve for x
    x = 283,463,602,569/366,140.25
  6. Step 6: Final answer
    x = 774,194.05

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.