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Finding the Third Proportional to 495,326 and 765,312

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Solution

The third proportional to 495,326 and 765,312 is: 1,182,458.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,326 : 765,312 = 765,312 : x
  2. Step 2: Convert to fraction form
    495,326/765,312 = 765,312/x
  3. Step 3: Cross multiply
    495,326x = 765,312 × 765,312
  4. Step 4: Simplify right side
    495,326x = 585,702,457,344
  5. Step 5: Solve for x
    x = 585,702,457,344/495,326
  6. Step 6: Final answer
    x = 1,182,458.54

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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.