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Finding the Third Proportional to 200,588 and 432,523

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Solution

The third proportional to 200,588 and 432,523 is: 932,638.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,588 : 432,523 = 432,523 : x
  2. Step 2: Convert to fraction form
    200,588/432,523 = 432,523/x
  3. Step 3: Cross multiply
    200,588x = 432,523 × 432,523
  4. Step 4: Simplify right side
    200,588x = 187,076,145,529
  5. Step 5: Solve for x
    x = 187,076,145,529/200,588
  6. Step 6: Final answer
    x = 932,638.77

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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.