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Finding the Third Proportional to 255,180 and 596,028

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Solution

The third proportional to 255,180 and 596,028 is: 1,392,152.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,180 : 596,028 = 596,028 : x
  2. Step 2: Convert to fraction form
    255,180/596,028 = 596,028/x
  3. Step 3: Cross multiply
    255,180x = 596,028 × 596,028
  4. Step 4: Simplify right side
    255,180x = 355,249,376,784
  5. Step 5: Solve for x
    x = 355,249,376,784/255,180
  6. Step 6: Final answer
    x = 1,392,152.12

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.