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Finding the Third Proportional to 336,447 and 710,802

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Solution

The third proportional to 336,447 and 710,802 is: 1,501,691.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,447 : 710,802 = 710,802 : x
  2. Step 2: Convert to fraction form
    336,447/710,802 = 710,802/x
  3. Step 3: Cross multiply
    336,447x = 710,802 × 710,802
  4. Step 4: Simplify right side
    336,447x = 505,239,483,204
  5. Step 5: Solve for x
    x = 505,239,483,204/336,447
  6. Step 6: Final answer
    x = 1,501,691.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.