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Finding the Third Proportional to 234,582 and 502,380

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Solution

The third proportional to 234,582 and 502,380 is: 1,075,895.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,582 : 502,380 = 502,380 : x
  2. Step 2: Convert to fraction form
    234,582/502,380 = 502,380/x
  3. Step 3: Cross multiply
    234,582x = 502,380 × 502,380
  4. Step 4: Simplify right side
    234,582x = 252,385,664,400
  5. Step 5: Solve for x
    x = 252,385,664,400/234,582
  6. Step 6: Final answer
    x = 1,075,895.27

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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.