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Finding the Third Proportional to 201,810 and 432,597

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Solution

The third proportional to 201,810 and 432,597 is: 927,308.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,810 : 432,597 = 432,597 : x
  2. Step 2: Convert to fraction form
    201,810/432,597 = 432,597/x
  3. Step 3: Cross multiply
    201,810x = 432,597 × 432,597
  4. Step 4: Simplify right side
    201,810x = 187,140,164,409
  5. Step 5: Solve for x
    x = 187,140,164,409/201,810
  6. Step 6: Final answer
    x = 927,308.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.