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Finding the Third Proportional to 830,535.75 and 1,187,658

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Solution

The third proportional to 830,535.75 and 1,187,658 is: 1,698,339.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,535.75 : 1,187,658 = 1,187,658 : x
  2. Step 2: Convert to fraction form
    830,535.75/1,187,658 = 1,187,658/x
  3. Step 3: Cross multiply
    830,535.75x = 1,187,658 × 1,187,658
  4. Step 4: Simplify right side
    830,535.75x = 1,410,531,524,964
  5. Step 5: Solve for x
    x = 1,410,531,524,964/830,535.75
  6. Step 6: Final answer
    x = 1,698,339.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.