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Finding the Third Proportional to 333,486 and 719,460

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Solution

The third proportional to 333,486 and 719,460 is: 1,552,157.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,486 : 719,460 = 719,460 : x
  2. Step 2: Convert to fraction form
    333,486/719,460 = 719,460/x
  3. Step 3: Cross multiply
    333,486x = 719,460 × 719,460
  4. Step 4: Simplify right side
    333,486x = 517,622,691,600
  5. Step 5: Solve for x
    x = 517,622,691,600/333,486
  6. Step 6: Final answer
    x = 1,552,157.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.