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Finding the Third Proportional to 495,327 and 765,315

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Solution

The third proportional to 495,327 and 765,315 is: 1,182,465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,327 : 765,315 = 765,315 : x
  2. Step 2: Convert to fraction form
    495,327/765,315 = 765,315/x
  3. Step 3: Cross multiply
    495,327x = 765,315 × 765,315
  4. Step 4: Simplify right side
    495,327x = 585,707,049,225
  5. Step 5: Solve for x
    x = 585,707,049,225/495,327
  6. Step 6: Final answer
    x = 1,182,465.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.