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Finding the Third Proportional to 498,528 and 792,504

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Solution

The third proportional to 498,528 and 792,504 is: 1,259,834.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,528 : 792,504 = 792,504 : x
  2. Step 2: Convert to fraction form
    498,528/792,504 = 792,504/x
  3. Step 3: Cross multiply
    498,528x = 792,504 × 792,504
  4. Step 4: Simplify right side
    498,528x = 628,062,590,016
  5. Step 5: Solve for x
    x = 628,062,590,016/498,528
  6. Step 6: Final answer
    x = 1,259,834.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.