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Finding the Third Proportional to 282,006 and 608,950.13

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Solution

The third proportional to 282,006 and 608,950.13 is: 1,314,937.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,006 : 608,950.13 = 608,950.13 : x
  2. Step 2: Convert to fraction form
    282,006/608,950.13 = 608,950.13/x
  3. Step 3: Cross multiply
    282,006x = 608,950.13 × 608,950.13
  4. Step 4: Simplify right side
    282,006x = 370,820,254,737.52
  5. Step 5: Solve for x
    x = 370,820,254,737.52/282,006
  6. Step 6: Final answer
    x = 1,314,937.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.