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Finding the Third Proportional to 777,507 and 1,160,262.75

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Solution

The third proportional to 777,507 and 1,160,262.75 is: 1,731,443.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,507 : 1,160,262.75 = 1,160,262.75 : x
  2. Step 2: Convert to fraction form
    777,507/1,160,262.75 = 1,160,262.75/x
  3. Step 3: Cross multiply
    777,507x = 1,160,262.75 × 1,160,262.75
  4. Step 4: Simplify right side
    777,507x = 1,346,209,649,037.56
  5. Step 5: Solve for x
    x = 1,346,209,649,037.56/777,507
  6. Step 6: Final answer
    x = 1,731,443.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.