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Finding the Third Proportional to 341,552.25 and 509,554.13

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Solution

The third proportional to 341,552.25 and 509,554.13 is: 760,192.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,552.25 : 509,554.13 = 509,554.13 : x
  2. Step 2: Convert to fraction form
    341,552.25/509,554.13 = 509,554.13/x
  3. Step 3: Cross multiply
    341,552.25x = 509,554.13 × 509,554.13
  4. Step 4: Simplify right side
    341,552.25x = 259,645,406,304.52
  5. Step 5: Solve for x
    x = 259,645,406,304.52/341,552.25
  6. Step 6: Final answer
    x = 760,192.35

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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.