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Finding the Third Proportional to 503,994 and 779,808

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Solution

The third proportional to 503,994 and 779,808 is: 1,206,563.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,994 : 779,808 = 779,808 : x
  2. Step 2: Convert to fraction form
    503,994/779,808 = 779,808/x
  3. Step 3: Cross multiply
    503,994x = 779,808 × 779,808
  4. Step 4: Simplify right side
    503,994x = 608,100,516,864
  5. Step 5: Solve for x
    x = 608,100,516,864/503,994
  6. Step 6: Final answer
    x = 1,206,563.01

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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.