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Finding the Third Proportional to 780,207 and 1,059,718.50

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Solution

The third proportional to 780,207 and 1,059,718.50 is: 1,439,365.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,207 : 1,059,718.50 = 1,059,718.50 : x
  2. Step 2: Convert to fraction form
    780,207/1,059,718.50 = 1,059,718.50/x
  3. Step 3: Cross multiply
    780,207x = 1,059,718.50 × 1,059,718.50
  4. Step 4: Simplify right side
    780,207x = 1,123,003,299,242.25
  5. Step 5: Solve for x
    x = 1,123,003,299,242.25/780,207
  6. Step 6: Final answer
    x = 1,439,365.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.