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Finding the Third Proportional to 495,334 and 765,323

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Solution

The third proportional to 495,334 and 765,323 is: 1,182,473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,334 : 765,323 = 765,323 : x
  2. Step 2: Convert to fraction form
    495,334/765,323 = 765,323/x
  3. Step 3: Cross multiply
    495,334x = 765,323 × 765,323
  4. Step 4: Simplify right side
    495,334x = 585,719,294,329
  5. Step 5: Solve for x
    x = 585,719,294,329/495,334
  6. Step 6: Final answer
    x = 1,182,473.43

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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.