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Finding the Third Proportional to 532,157 and 803,765

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Solution

The third proportional to 532,157 and 803,765 is: 1,213,999.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,157 : 803,765 = 803,765 : x
  2. Step 2: Convert to fraction form
    532,157/803,765 = 803,765/x
  3. Step 3: Cross multiply
    532,157x = 803,765 × 803,765
  4. Step 4: Simplify right side
    532,157x = 646,038,175,225
  5. Step 5: Solve for x
    x = 646,038,175,225/532,157
  6. Step 6: Final answer
    x = 1,213,999.21

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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.