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Finding the Third Proportional to 304,566.75 and 456,850.13

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Solution

The third proportional to 304,566.75 and 456,850.13 is: 685,275.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,566.75 : 456,850.13 = 456,850.13 : x
  2. Step 2: Convert to fraction form
    304,566.75/456,850.13 = 456,850.13/x
  3. Step 3: Cross multiply
    304,566.75x = 456,850.13 × 456,850.13
  4. Step 4: Simplify right side
    304,566.75x = 208,712,036,712.52
  5. Step 5: Solve for x
    x = 208,712,036,712.52/304,566.75
  6. Step 6: Final answer
    x = 685,275.19

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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.