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Finding the Third Proportional to 341,547.75 and 509,550.75

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Solution

The third proportional to 341,547.75 and 509,550.75 is: 760,192.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,547.75 : 509,550.75 = 509,550.75 : x
  2. Step 2: Convert to fraction form
    341,547.75/509,550.75 = 509,550.75/x
  3. Step 3: Cross multiply
    341,547.75x = 509,550.75 × 509,550.75
  4. Step 4: Simplify right side
    341,547.75x = 259,641,966,825.56
  5. Step 5: Solve for x
    x = 259,641,966,825.56/341,547.75
  6. Step 6: Final answer
    x = 760,192.29

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Why These Related Problems?

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