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Finding the Third Proportional to 355,658 and 550,527

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Solution

The third proportional to 355,658 and 550,527 is: 852,166.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,658 : 550,527 = 550,527 : x
  2. Step 2: Convert to fraction form
    355,658/550,527 = 550,527/x
  3. Step 3: Cross multiply
    355,658x = 550,527 × 550,527
  4. Step 4: Simplify right side
    355,658x = 303,079,977,729
  5. Step 5: Solve for x
    x = 303,079,977,729/355,658
  6. Step 6: Final answer
    x = 852,166.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.