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Finding the Third Proportional to 255,730 and 538,424

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Solution

The third proportional to 255,730 and 538,424 is: 1,133,619.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,730 : 538,424 = 538,424 : x
  2. Step 2: Convert to fraction form
    255,730/538,424 = 538,424/x
  3. Step 3: Cross multiply
    255,730x = 538,424 × 538,424
  4. Step 4: Simplify right side
    255,730x = 289,900,403,776
  5. Step 5: Solve for x
    x = 289,900,403,776/255,730
  6. Step 6: Final answer
    x = 1,133,619.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.