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Finding the Third Proportional to 553,351.50 and 830,538

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Solution

The third proportional to 553,351.50 and 830,538 is: 1,246,573.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,351.50 : 830,538 = 830,538 : x
  2. Step 2: Convert to fraction form
    553,351.50/830,538 = 830,538/x
  3. Step 3: Cross multiply
    553,351.50x = 830,538 × 830,538
  4. Step 4: Simplify right side
    553,351.50x = 689,793,369,444
  5. Step 5: Solve for x
    x = 689,793,369,444/553,351.50
  6. Step 6: Final answer
    x = 1,246,573.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.