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Finding the Third Proportional to 246,457 and 359,989

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Solution

The third proportional to 246,457 and 359,989 is: 525,820.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,457 : 359,989 = 359,989 : x
  2. Step 2: Convert to fraction form
    246,457/359,989 = 359,989/x
  3. Step 3: Cross multiply
    246,457x = 359,989 × 359,989
  4. Step 4: Simplify right side
    246,457x = 129,592,080,121
  5. Step 5: Solve for x
    x = 129,592,080,121/246,457
  6. Step 6: Final answer
    x = 525,820.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.