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Finding the Third Proportional to 284,146 and 473,511

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Solution

The third proportional to 284,146 and 473,511 is: 789,075.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,146 : 473,511 = 473,511 : x
  2. Step 2: Convert to fraction form
    284,146/473,511 = 473,511/x
  3. Step 3: Cross multiply
    284,146x = 473,511 × 473,511
  4. Step 4: Simplify right side
    284,146x = 224,212,667,121
  5. Step 5: Solve for x
    x = 224,212,667,121/284,146
  6. Step 6: Final answer
    x = 789,075.57

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.