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Finding the Third Proportional to 534,348 and 765,423

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Solution

The third proportional to 534,348 and 765,423 is: 1,096,424.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,348 : 765,423 = 765,423 : x
  2. Step 2: Convert to fraction form
    534,348/765,423 = 765,423/x
  3. Step 3: Cross multiply
    534,348x = 765,423 × 765,423
  4. Step 4: Simplify right side
    534,348x = 585,872,368,929
  5. Step 5: Solve for x
    x = 585,872,368,929/534,348
  6. Step 6: Final answer
    x = 1,096,424.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.