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Finding the Third Proportional to 286,353 and 592,524

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Solution

The third proportional to 286,353 and 592,524 is: 1,226,055.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,353 : 592,524 = 592,524 : x
  2. Step 2: Convert to fraction form
    286,353/592,524 = 592,524/x
  3. Step 3: Cross multiply
    286,353x = 592,524 × 592,524
  4. Step 4: Simplify right side
    286,353x = 351,084,690,576
  5. Step 5: Solve for x
    x = 351,084,690,576/286,353
  6. Step 6: Final answer
    x = 1,226,055.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.