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Finding the Third Proportional to 560,184 and 840,690

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Solution

The third proportional to 560,184 and 840,690 is: 1,261,656.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,184 : 840,690 = 840,690 : x
  2. Step 2: Convert to fraction form
    560,184/840,690 = 840,690/x
  3. Step 3: Cross multiply
    560,184x = 840,690 × 840,690
  4. Step 4: Simplify right side
    560,184x = 706,759,676,100
  5. Step 5: Solve for x
    x = 706,759,676,100/560,184
  6. Step 6: Final answer
    x = 1,261,656.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.