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Finding the Third Proportional to 524,653.50 and 769,756.50

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Solution

The third proportional to 524,653.50 and 769,756.50 is: 1,129,364.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,653.50 : 769,756.50 = 769,756.50 : x
  2. Step 2: Convert to fraction form
    524,653.50/769,756.50 = 769,756.50/x
  3. Step 3: Cross multiply
    524,653.50x = 769,756.50 × 769,756.50
  4. Step 4: Simplify right side
    524,653.50x = 592,525,069,292.25
  5. Step 5: Solve for x
    x = 592,525,069,292.25/524,653.50
  6. Step 6: Final answer
    x = 1,129,364.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.