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Finding the Third Proportional to 468,066.75 and 702,111.75

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Solution

The third proportional to 468,066.75 and 702,111.75 is: 1,053,185.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,066.75 : 702,111.75 = 702,111.75 : x
  2. Step 2: Convert to fraction form
    468,066.75/702,111.75 = 702,111.75/x
  3. Step 3: Cross multiply
    468,066.75x = 702,111.75 × 702,111.75
  4. Step 4: Simplify right side
    468,066.75x = 492,960,909,488.06
  5. Step 5: Solve for x
    x = 492,960,909,488.06/468,066.75
  6. Step 6: Final answer
    x = 1,053,185.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.