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Finding the Third Proportional to 524,621.81 and 786,925.13

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Solution

The third proportional to 524,621.81 and 786,925.13 is: 1,180,376.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,621.81 : 786,925.13 = 786,925.13 : x
  2. Step 2: Convert to fraction form
    524,621.81/786,925.13 = 786,925.13/x
  3. Step 3: Cross multiply
    524,621.81x = 786,925.13 × 786,925.13
  4. Step 4: Simplify right side
    524,621.81x = 619,251,152,356.27
  5. Step 5: Solve for x
    x = 619,251,152,356.27/524,621.81
  6. Step 6: Final answer
    x = 1,180,376.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.