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Finding the Third Proportional to 333,484 and 730,214

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Solution

The third proportional to 333,484 and 730,214 is: 1,598,914.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,484 : 730,214 = 730,214 : x
  2. Step 2: Convert to fraction form
    333,484/730,214 = 730,214/x
  3. Step 3: Cross multiply
    333,484x = 730,214 × 730,214
  4. Step 4: Simplify right side
    333,484x = 533,212,485,796
  5. Step 5: Solve for x
    x = 533,212,485,796/333,484
  6. Step 6: Final answer
    x = 1,598,914.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.