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Finding the Third Proportional to 525,315 and 803,220

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Solution

The third proportional to 525,315 and 803,220 is: 1,228,143.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,315 : 803,220 = 803,220 : x
  2. Step 2: Convert to fraction form
    525,315/803,220 = 803,220/x
  3. Step 3: Cross multiply
    525,315x = 803,220 × 803,220
  4. Step 4: Simplify right side
    525,315x = 645,162,368,400
  5. Step 5: Solve for x
    x = 645,162,368,400/525,315
  6. Step 6: Final answer
    x = 1,228,143.82

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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.