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Finding the Third Proportional to 233,310 and 546,337

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Solution

The third proportional to 233,310 and 546,337 is: 1,279,345.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,310 : 546,337 = 546,337 : x
  2. Step 2: Convert to fraction form
    233,310/546,337 = 546,337/x
  3. Step 3: Cross multiply
    233,310x = 546,337 × 546,337
  4. Step 4: Simplify right side
    233,310x = 298,484,117,569
  5. Step 5: Solve for x
    x = 298,484,117,569/233,310
  6. Step 6: Final answer
    x = 1,279,345.58

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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.