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Finding the Third Proportional to 560,646.56 and 840,796.88

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Solution

The third proportional to 560,646.56 and 840,796.88 is: 1,260,935.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,646.56 : 840,796.88 = 840,796.88 : x
  2. Step 2: Convert to fraction form
    560,646.56/840,796.88 = 840,796.88/x
  3. Step 3: Cross multiply
    560,646.56x = 840,796.88 × 840,796.88
  4. Step 4: Simplify right side
    560,646.56x = 706,939,385,009.77
  5. Step 5: Solve for x
    x = 706,939,385,009.77/560,646.56
  6. Step 6: Final answer
    x = 1,260,935.91

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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.