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Finding the Third Proportional to 255,182 and 596,032

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Solution

The third proportional to 255,182 and 596,032 is: 1,392,159.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,182 : 596,032 = 596,032 : x
  2. Step 2: Convert to fraction form
    255,182/596,032 = 596,032/x
  3. Step 3: Cross multiply
    255,182x = 596,032 × 596,032
  4. Step 4: Simplify right side
    255,182x = 355,254,145,024
  5. Step 5: Solve for x
    x = 355,254,145,024/255,182
  6. Step 6: Final answer
    x = 1,392,159.89

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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.