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Finding the Third Proportional to 525,319 and 803,226

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Solution

The third proportional to 525,319 and 803,226 is: 1,228,152.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,319 : 803,226 = 803,226 : x
  2. Step 2: Convert to fraction form
    525,319/803,226 = 803,226/x
  3. Step 3: Cross multiply
    525,319x = 803,226 × 803,226
  4. Step 4: Simplify right side
    525,319x = 645,172,007,076
  5. Step 5: Solve for x
    x = 645,172,007,076/525,319
  6. Step 6: Final answer
    x = 1,228,152.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.