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Finding the Third Proportional to 276,413 and 602,854

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Solution

The third proportional to 276,413 and 602,854 is: 1,314,818.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,413 : 602,854 = 602,854 : x
  2. Step 2: Convert to fraction form
    276,413/602,854 = 602,854/x
  3. Step 3: Cross multiply
    276,413x = 602,854 × 602,854
  4. Step 4: Simplify right side
    276,413x = 363,432,945,316
  5. Step 5: Solve for x
    x = 363,432,945,316/276,413
  6. Step 6: Final answer
    x = 1,314,818.57

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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.