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Finding the Third Proportional to 201,964 and 424,820

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Solution

The third proportional to 201,964 and 424,820 is: 893,585.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,964 : 424,820 = 424,820 : x
  2. Step 2: Convert to fraction form
    201,964/424,820 = 424,820/x
  3. Step 3: Cross multiply
    201,964x = 424,820 × 424,820
  4. Step 4: Simplify right side
    201,964x = 180,472,032,400
  5. Step 5: Solve for x
    x = 180,472,032,400/201,964
  6. Step 6: Final answer
    x = 893,585.16

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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.