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Finding the Third Proportional to 282,367 and 550,547

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Solution

The third proportional to 282,367 and 550,547 is: 1,073,432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,367 : 550,547 = 550,547 : x
  2. Step 2: Convert to fraction form
    282,367/550,547 = 550,547/x
  3. Step 3: Cross multiply
    282,367x = 550,547 × 550,547
  4. Step 4: Simplify right side
    282,367x = 303,101,999,209
  5. Step 5: Solve for x
    x = 303,101,999,209/282,367
  6. Step 6: Final answer
    x = 1,073,432.80

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.