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Finding the Third Proportional to 246,076 and 385,511

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Solution

The third proportional to 246,076 and 385,511 is: 603,954.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,076 : 385,511 = 385,511 : x
  2. Step 2: Convert to fraction form
    246,076/385,511 = 385,511/x
  3. Step 3: Cross multiply
    246,076x = 385,511 × 385,511
  4. Step 4: Simplify right side
    246,076x = 148,618,731,121
  5. Step 5: Solve for x
    x = 148,618,731,121/246,076
  6. Step 6: Final answer
    x = 603,954.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.