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Finding the Third Proportional to 246,315 and 529,465

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Solution

The third proportional to 246,315 and 529,465 is: 1,138,108.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,315 : 529,465 = 529,465 : x
  2. Step 2: Convert to fraction form
    246,315/529,465 = 529,465/x
  3. Step 3: Cross multiply
    246,315x = 529,465 × 529,465
  4. Step 4: Simplify right side
    246,315x = 280,333,186,225
  5. Step 5: Solve for x
    x = 280,333,186,225/246,315
  6. Step 6: Final answer
    x = 1,138,108.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.