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Finding the Third Proportional to 341,566 and 509,587

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Solution

The third proportional to 341,566 and 509,587 is: 760,259.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,566 : 509,587 = 509,587 : x
  2. Step 2: Convert to fraction form
    341,566/509,587 = 509,587/x
  3. Step 3: Cross multiply
    341,566x = 509,587 × 509,587
  4. Step 4: Simplify right side
    341,566x = 259,678,910,569
  5. Step 5: Solve for x
    x = 259,678,910,569/341,566
  6. Step 6: Final answer
    x = 760,259.83

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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.