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Finding the Third Proportional to 286,480.13 and 596,494.13

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Solution

The third proportional to 286,480.13 and 596,494.13 is: 1,241,989.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,480.13 : 596,494.13 = 596,494.13 : x
  2. Step 2: Convert to fraction form
    286,480.13/596,494.13 = 596,494.13/x
  3. Step 3: Cross multiply
    286,480.13x = 596,494.13 × 596,494.13
  4. Step 4: Simplify right side
    286,480.13x = 355,805,241,159.52
  5. Step 5: Solve for x
    x = 355,805,241,159.52/286,480.13
  6. Step 6: Final answer
    x = 1,241,989.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.