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Finding the Third Proportional to 492,135 and 760,011

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Solution

The third proportional to 492,135 and 760,011 is: 1,173,695.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,135 : 760,011 = 760,011 : x
  2. Step 2: Convert to fraction form
    492,135/760,011 = 760,011/x
  3. Step 3: Cross multiply
    492,135x = 760,011 × 760,011
  4. Step 4: Simplify right side
    492,135x = 577,616,720,121
  5. Step 5: Solve for x
    x = 577,616,720,121/492,135
  6. Step 6: Final answer
    x = 1,173,695.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.