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Finding the Third Proportional to 363,160 and 560,056

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Solution

The third proportional to 363,160 and 560,056 is: 863,703.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,160 : 560,056 = 560,056 : x
  2. Step 2: Convert to fraction form
    363,160/560,056 = 560,056/x
  3. Step 3: Cross multiply
    363,160x = 560,056 × 560,056
  4. Step 4: Simplify right side
    363,160x = 313,662,723,136
  5. Step 5: Solve for x
    x = 313,662,723,136/363,160
  6. Step 6: Final answer
    x = 863,703.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.