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Finding the Third Proportional to 282,348.50 and 402,479

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Solution

The third proportional to 282,348.50 and 402,479 is: 573,721.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,348.50 : 402,479 = 402,479 : x
  2. Step 2: Convert to fraction form
    282,348.50/402,479 = 402,479/x
  3. Step 3: Cross multiply
    282,348.50x = 402,479 × 402,479
  4. Step 4: Simplify right side
    282,348.50x = 161,989,345,441
  5. Step 5: Solve for x
    x = 161,989,345,441/282,348.50
  6. Step 6: Final answer
    x = 573,721.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.