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Finding the Third Proportional to 333,420 and 710,576

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Solution

The third proportional to 333,420 and 710,576 is: 1,514,361.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,420 : 710,576 = 710,576 : x
  2. Step 2: Convert to fraction form
    333,420/710,576 = 710,576/x
  3. Step 3: Cross multiply
    333,420x = 710,576 × 710,576
  4. Step 4: Simplify right side
    333,420x = 504,918,251,776
  5. Step 5: Solve for x
    x = 504,918,251,776/333,420
  6. Step 6: Final answer
    x = 1,514,361.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.