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Finding the Third Proportional to 233,308 and 546,332

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Solution

The third proportional to 233,308 and 546,332 is: 1,279,333.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,308 : 546,332 = 546,332 : x
  2. Step 2: Convert to fraction form
    233,308/546,332 = 546,332/x
  3. Step 3: Cross multiply
    233,308x = 546,332 × 546,332
  4. Step 4: Simplify right side
    233,308x = 298,478,654,224
  5. Step 5: Solve for x
    x = 298,478,654,224/233,308
  6. Step 6: Final answer
    x = 1,279,333.13

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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.