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Finding the Third Proportional to 282,802.50 and 594,689

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Solution

The third proportional to 282,802.50 and 594,689 is: 1,250,537.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,802.50 : 594,689 = 594,689 : x
  2. Step 2: Convert to fraction form
    282,802.50/594,689 = 594,689/x
  3. Step 3: Cross multiply
    282,802.50x = 594,689 × 594,689
  4. Step 4: Simplify right side
    282,802.50x = 353,655,006,721
  5. Step 5: Solve for x
    x = 353,655,006,721/282,802.50
  6. Step 6: Final answer
    x = 1,250,537.06

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.