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Finding the Third Proportional to 560,911.50 and 1,201,527

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Solution

The third proportional to 560,911.50 and 1,201,527 is: 2,573,787.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,911.50 : 1,201,527 = 1,201,527 : x
  2. Step 2: Convert to fraction form
    560,911.50/1,201,527 = 1,201,527/x
  3. Step 3: Cross multiply
    560,911.50x = 1,201,527 × 1,201,527
  4. Step 4: Simplify right side
    560,911.50x = 1,443,667,131,729
  5. Step 5: Solve for x
    x = 1,443,667,131,729/560,911.50
  6. Step 6: Final answer
    x = 2,573,787.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.