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Finding the Third Proportional to 497,257 and 764,763.50

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Solution

The third proportional to 497,257 and 764,763.50 is: 1,176,178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,257 : 764,763.50 = 764,763.50 : x
  2. Step 2: Convert to fraction form
    497,257/764,763.50 = 764,763.50/x
  3. Step 3: Cross multiply
    497,257x = 764,763.50 × 764,763.50
  4. Step 4: Simplify right side
    497,257x = 584,863,210,932.25
  5. Step 5: Solve for x
    x = 584,863,210,932.25/497,257
  6. Step 6: Final answer
    x = 1,176,178.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.