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Finding the Third Proportional to 560,178 and 861,030

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Solution

The third proportional to 560,178 and 861,030 is: 1,323,459.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,178 : 861,030 = 861,030 : x
  2. Step 2: Convert to fraction form
    560,178/861,030 = 861,030/x
  3. Step 3: Cross multiply
    560,178x = 861,030 × 861,030
  4. Step 4: Simplify right side
    560,178x = 741,372,660,900
  5. Step 5: Solve for x
    x = 741,372,660,900/560,178
  6. Step 6: Final answer
    x = 1,323,459.08

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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.