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Finding the Third Proportional to 530,362 and 803,247

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Solution

The third proportional to 530,362 and 803,247 is: 1,216,538.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,362 : 803,247 = 803,247 : x
  2. Step 2: Convert to fraction form
    530,362/803,247 = 803,247/x
  3. Step 3: Cross multiply
    530,362x = 803,247 × 803,247
  4. Step 4: Simplify right side
    530,362x = 645,205,743,009
  5. Step 5: Solve for x
    x = 645,205,743,009/530,362
  6. Step 6: Final answer
    x = 1,216,538.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.