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Finding the Third Proportional to 276,308 and 602,572

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Solution

The third proportional to 276,308 and 602,572 is: 1,314,087.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,308 : 602,572 = 602,572 : x
  2. Step 2: Convert to fraction form
    276,308/602,572 = 602,572/x
  3. Step 3: Cross multiply
    276,308x = 602,572 × 602,572
  4. Step 4: Simplify right side
    276,308x = 363,093,015,184
  5. Step 5: Solve for x
    x = 363,093,015,184/276,308
  6. Step 6: Final answer
    x = 1,314,087.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.