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Finding the Third Proportional to 344,952 and 515,300

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Solution

The third proportional to 344,952 and 515,300 is: 769,771.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,952 : 515,300 = 515,300 : x
  2. Step 2: Convert to fraction form
    344,952/515,300 = 515,300/x
  3. Step 3: Cross multiply
    344,952x = 515,300 × 515,300
  4. Step 4: Simplify right side
    344,952x = 265,534,090,000
  5. Step 5: Solve for x
    x = 265,534,090,000/344,952
  6. Step 6: Final answer
    x = 769,771.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.