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Finding the Third Proportional to 210,737 and 456,466

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Solution

The third proportional to 210,737 and 456,466 is: 988,726.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,737 : 456,466 = 456,466 : x
  2. Step 2: Convert to fraction form
    210,737/456,466 = 456,466/x
  3. Step 3: Cross multiply
    210,737x = 456,466 × 456,466
  4. Step 4: Simplify right side
    210,737x = 208,361,209,156
  5. Step 5: Solve for x
    x = 208,361,209,156/210,737
  6. Step 6: Final answer
    x = 988,726.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.