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Finding the Third Proportional to 560,196 and 735,318

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Solution

The third proportional to 560,196 and 735,318 is: 965,184.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,196 : 735,318 = 735,318 : x
  2. Step 2: Convert to fraction form
    560,196/735,318 = 735,318/x
  3. Step 3: Cross multiply
    560,196x = 735,318 × 735,318
  4. Step 4: Simplify right side
    560,196x = 540,692,561,124
  5. Step 5: Solve for x
    x = 540,692,561,124/560,196
  6. Step 6: Final answer
    x = 965,184.62

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.