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Finding the Third Proportional to 339,439,693.50 and 732,968,271

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Solution

The third proportional to 339,439,693.50 and 732,968,271 is: 1,582,733,241.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,439,693.50 : 732,968,271 = 732,968,271 : x
  2. Step 2: Convert to fraction form
    339,439,693.50/732,968,271 = 732,968,271/x
  3. Step 3: Cross multiply
    339,439,693.50x = 732,968,271 × 732,968,271
  4. Step 4: Simplify right side
    339,439,693.50x = 537,242,486,292,729,472
  5. Step 5: Solve for x
    x = 537,242,486,292,729,472/339,439,693.50
  6. Step 6: Final answer
    x = 1,582,733,241.22

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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.