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Finding the Third Proportional to 286,093.13 and 432,822.38

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Solution

The third proportional to 286,093.13 and 432,822.38 is: 654,805.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,093.13 : 432,822.38 = 432,822.38 : x
  2. Step 2: Convert to fraction form
    286,093.13/432,822.38 = 432,822.38/x
  3. Step 3: Cross multiply
    286,093.13x = 432,822.38 × 432,822.38
  4. Step 4: Simplify right side
    286,093.13x = 187,335,208,300.64
  5. Step 5: Solve for x
    x = 187,335,208,300.64/286,093.13
  6. Step 6: Final answer
    x = 654,805.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.