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Finding the Third Proportional to 532,024 and 803,556

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Solution

The third proportional to 532,024 and 803,556 is: 1,213,671.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,024 : 803,556 = 803,556 : x
  2. Step 2: Convert to fraction form
    532,024/803,556 = 803,556/x
  3. Step 3: Cross multiply
    532,024x = 803,556 × 803,556
  4. Step 4: Simplify right side
    532,024x = 645,702,245,136
  5. Step 5: Solve for x
    x = 645,702,245,136/532,024
  6. Step 6: Final answer
    x = 1,213,671.27

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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.