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Finding the Third Proportional to 286,381.50 and 565,534.50

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Solution

The third proportional to 286,381.50 and 565,534.50 is: 1,116,794.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,381.50 : 565,534.50 = 565,534.50 : x
  2. Step 2: Convert to fraction form
    286,381.50/565,534.50 = 565,534.50/x
  3. Step 3: Cross multiply
    286,381.50x = 565,534.50 × 565,534.50
  4. Step 4: Simplify right side
    286,381.50x = 319,829,270,690.25
  5. Step 5: Solve for x
    x = 319,829,270,690.25/286,381.50
  6. Step 6: Final answer
    x = 1,116,794.45

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.