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Finding the Third Proportional to 763,075.50 and 1,214,664

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Solution

The third proportional to 763,075.50 and 1,214,664 is: 1,933,502.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,075.50 : 1,214,664 = 1,214,664 : x
  2. Step 2: Convert to fraction form
    763,075.50/1,214,664 = 1,214,664/x
  3. Step 3: Cross multiply
    763,075.50x = 1,214,664 × 1,214,664
  4. Step 4: Simplify right side
    763,075.50x = 1,475,408,632,896
  5. Step 5: Solve for x
    x = 1,475,408,632,896/763,075.50
  6. Step 6: Final answer
    x = 1,933,502.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.