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Finding the Third Proportional to 330,571,412 and 720,664,300

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Solution

The third proportional to 330,571,412 and 720,664,300 is: 1,571,088,770.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,571,412 : 720,664,300 = 720,664,300 : x
  2. Step 2: Convert to fraction form
    330,571,412/720,664,300 = 720,664,300/x
  3. Step 3: Cross multiply
    330,571,412x = 720,664,300 × 720,664,300
  4. Step 4: Simplify right side
    330,571,412x = 519,357,033,294,489,984
  5. Step 5: Solve for x
    x = 519,357,033,294,489,984/330,571,412
  6. Step 6: Final answer
    x = 1,571,088,770.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.