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Finding the Third Proportional to 333,420 and 730,083

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Solution

The third proportional to 333,420 and 730,083 is: 1,598,647.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,420 : 730,083 = 730,083 : x
  2. Step 2: Convert to fraction form
    333,420/730,083 = 730,083/x
  3. Step 3: Cross multiply
    333,420x = 730,083 × 730,083
  4. Step 4: Simplify right side
    333,420x = 533,021,186,889
  5. Step 5: Solve for x
    x = 533,021,186,889/333,420
  6. Step 6: Final answer
    x = 1,598,647.91

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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.