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Finding the Third Proportional to 495,421 and 759,122

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Solution

The third proportional to 495,421 and 759,122 is: 1,163,184.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,421 : 759,122 = 759,122 : x
  2. Step 2: Convert to fraction form
    495,421/759,122 = 759,122/x
  3. Step 3: Cross multiply
    495,421x = 759,122 × 759,122
  4. Step 4: Simplify right side
    495,421x = 576,266,210,884
  5. Step 5: Solve for x
    x = 576,266,210,884/495,421
  6. Step 6: Final answer
    x = 1,163,184.87

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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.