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Finding the Third Proportional to 504,055.13 and 798,535.13

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Solution

The third proportional to 504,055.13 and 798,535.13 is: 1,265,056.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,055.13 : 798,535.13 = 798,535.13 : x
  2. Step 2: Convert to fraction form
    504,055.13/798,535.13 = 798,535.13/x
  3. Step 3: Cross multiply
    504,055.13x = 798,535.13 × 798,535.13
  4. Step 4: Simplify right side
    504,055.13x = 637,658,345,858.77
  5. Step 5: Solve for x
    x = 637,658,345,858.77/504,055.13
  6. Step 6: Final answer
    x = 1,265,056.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.