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Finding the Third Proportional to 323,358 and 710,283

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Solution

The third proportional to 323,358 and 710,283 is: 1,560,196.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,358 : 710,283 = 710,283 : x
  2. Step 2: Convert to fraction form
    323,358/710,283 = 710,283/x
  3. Step 3: Cross multiply
    323,358x = 710,283 × 710,283
  4. Step 4: Simplify right side
    323,358x = 504,501,940,089
  5. Step 5: Solve for x
    x = 504,501,940,089/323,358
  6. Step 6: Final answer
    x = 1,560,196.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.