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Finding the Third Proportional to 495,332 and 765,320

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Solution

The third proportional to 495,332 and 765,320 is: 1,182,468.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,332 : 765,320 = 765,320 : x
  2. Step 2: Convert to fraction form
    495,332/765,320 = 765,320/x
  3. Step 3: Cross multiply
    495,332x = 765,320 × 765,320
  4. Step 4: Simplify right side
    495,332x = 585,714,702,400
  5. Step 5: Solve for x
    x = 585,714,702,400/495,332
  6. Step 6: Final answer
    x = 1,182,468.93

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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.