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Finding the Third Proportional to 532,152 and 803,757

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Solution

The third proportional to 532,152 and 803,757 is: 1,213,986.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,152 : 803,757 = 803,757 : x
  2. Step 2: Convert to fraction form
    532,152/803,757 = 803,757/x
  3. Step 3: Cross multiply
    532,152x = 803,757 × 803,757
  4. Step 4: Simplify right side
    532,152x = 646,025,315,049
  5. Step 5: Solve for x
    x = 646,025,315,049/532,152
  6. Step 6: Final answer
    x = 1,213,986.45

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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.