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Finding the Third Proportional to 325,498 and 502,998

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Solution

The third proportional to 325,498 and 502,998 is: 777,291.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,498 : 502,998 = 502,998 : x
  2. Step 2: Convert to fraction form
    325,498/502,998 = 502,998/x
  3. Step 3: Cross multiply
    325,498x = 502,998 × 502,998
  4. Step 4: Simplify right side
    325,498x = 253,006,988,004
  5. Step 5: Solve for x
    x = 253,006,988,004/325,498
  6. Step 6: Final answer
    x = 777,291.99

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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.