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Finding the Third Proportional to 523,935 and 788,498

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Solution

The third proportional to 523,935 and 788,498 is: 1,186,653.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,935 : 788,498 = 788,498 : x
  2. Step 2: Convert to fraction form
    523,935/788,498 = 788,498/x
  3. Step 3: Cross multiply
    523,935x = 788,498 × 788,498
  4. Step 4: Simplify right side
    523,935x = 621,729,096,004
  5. Step 5: Solve for x
    x = 621,729,096,004/523,935
  6. Step 6: Final answer
    x = 1,186,653.11

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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.