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Finding the Third Proportional to 286,746 and 623,793

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Solution

The third proportional to 286,746 and 623,793 is: 1,357,011.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,746 : 623,793 = 623,793 : x
  2. Step 2: Convert to fraction form
    286,746/623,793 = 623,793/x
  3. Step 3: Cross multiply
    286,746x = 623,793 × 623,793
  4. Step 4: Simplify right side
    286,746x = 389,117,706,849
  5. Step 5: Solve for x
    x = 389,117,706,849/286,746
  6. Step 6: Final answer
    x = 1,357,011.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.