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Finding the Third Proportional to 565,543 and 1,232,703

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Solution

The third proportional to 565,543 and 1,232,703 is: 2,686,898.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,543 : 1,232,703 = 1,232,703 : x
  2. Step 2: Convert to fraction form
    565,543/1,232,703 = 1,232,703/x
  3. Step 3: Cross multiply
    565,543x = 1,232,703 × 1,232,703
  4. Step 4: Simplify right side
    565,543x = 1,519,556,686,209
  5. Step 5: Solve for x
    x = 1,519,556,686,209/565,543
  6. Step 6: Final answer
    x = 2,686,898.58

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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.