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Finding the Third Proportional to 495,414 and 759,114

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Solution

The third proportional to 495,414 and 759,114 is: 1,163,176.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,414 : 759,114 = 759,114 : x
  2. Step 2: Convert to fraction form
    495,414/759,114 = 759,114/x
  3. Step 3: Cross multiply
    495,414x = 759,114 × 759,114
  4. Step 4: Simplify right side
    495,414x = 576,254,064,996
  5. Step 5: Solve for x
    x = 576,254,064,996/495,414
  6. Step 6: Final answer
    x = 1,163,176.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.