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Finding the Third Proportional to 202,461 and 432,946

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Solution

The third proportional to 202,461 and 432,946 is: 925,818.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,461 : 432,946 = 432,946 : x
  2. Step 2: Convert to fraction form
    202,461/432,946 = 432,946/x
  3. Step 3: Cross multiply
    202,461x = 432,946 × 432,946
  4. Step 4: Simplify right side
    202,461x = 187,442,238,916
  5. Step 5: Solve for x
    x = 187,442,238,916/202,461
  6. Step 6: Final answer
    x = 925,818.99

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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.