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Finding the Third Proportional to 200,010 and 437,382

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Solution

The third proportional to 200,010 and 437,382 is: 956,467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,010 : 437,382 = 437,382 : x
  2. Step 2: Convert to fraction form
    200,010/437,382 = 437,382/x
  3. Step 3: Cross multiply
    200,010x = 437,382 × 437,382
  4. Step 4: Simplify right side
    200,010x = 191,303,013,924
  5. Step 5: Solve for x
    x = 191,303,013,924/200,010
  6. Step 6: Final answer
    x = 956,467.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.