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Finding the Third Proportional to 340,253 and 742,765

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Solution

The third proportional to 340,253 and 742,765 is: 1,621,440.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,253 : 742,765 = 742,765 : x
  2. Step 2: Convert to fraction form
    340,253/742,765 = 742,765/x
  3. Step 3: Cross multiply
    340,253x = 742,765 × 742,765
  4. Step 4: Simplify right side
    340,253x = 551,699,845,225
  5. Step 5: Solve for x
    x = 551,699,845,225/340,253
  6. Step 6: Final answer
    x = 1,621,440.06

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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.