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Finding the Third Proportional to 341,537.50 and 509,534.50

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Solution

The third proportional to 341,537.50 and 509,534.50 is: 760,166.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,537.50 : 509,534.50 = 509,534.50 : x
  2. Step 2: Convert to fraction form
    341,537.50/509,534.50 = 509,534.50/x
  3. Step 3: Cross multiply
    341,537.50x = 509,534.50 × 509,534.50
  4. Step 4: Simplify right side
    341,537.50x = 259,625,406,690.25
  5. Step 5: Solve for x
    x = 259,625,406,690.25/341,537.50
  6. Step 6: Final answer
    x = 760,166.62

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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.