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Finding the Third Proportional to 202,020 and 424,938

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Solution

The third proportional to 202,020 and 424,938 is: 893,833.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,020 : 424,938 = 424,938 : x
  2. Step 2: Convert to fraction form
    202,020/424,938 = 424,938/x
  3. Step 3: Cross multiply
    202,020x = 424,938 × 424,938
  4. Step 4: Simplify right side
    202,020x = 180,572,303,844
  5. Step 5: Solve for x
    x = 180,572,303,844/202,020
  6. Step 6: Final answer
    x = 893,833.80

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.