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Finding the Third Proportional to 201,808 and 424,528

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Solution

The third proportional to 201,808 and 424,528 is: 893,046.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,808 : 424,528 = 424,528 : x
  2. Step 2: Convert to fraction form
    201,808/424,528 = 424,528/x
  3. Step 3: Cross multiply
    201,808x = 424,528 × 424,528
  4. Step 4: Simplify right side
    201,808x = 180,224,022,784
  5. Step 5: Solve for x
    x = 180,224,022,784/201,808
  6. Step 6: Final answer
    x = 893,046.97

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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.