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Finding the Third Proportional to 485,156 and 737,527

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Solution

The third proportional to 485,156 and 737,527 is: 1,121,177.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,156 : 737,527 = 737,527 : x
  2. Step 2: Convert to fraction form
    485,156/737,527 = 737,527/x
  3. Step 3: Cross multiply
    485,156x = 737,527 × 737,527
  4. Step 4: Simplify right side
    485,156x = 543,946,075,729
  5. Step 5: Solve for x
    x = 543,946,075,729/485,156
  6. Step 6: Final answer
    x = 1,121,177.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.