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Finding the Third Proportional to 629,748 and 732,114

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Solution

The third proportional to 629,748 and 732,114 is: 851,119.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,748 : 732,114 = 732,114 : x
  2. Step 2: Convert to fraction form
    629,748/732,114 = 732,114/x
  3. Step 3: Cross multiply
    629,748x = 732,114 × 732,114
  4. Step 4: Simplify right side
    629,748x = 535,990,908,996
  5. Step 5: Solve for x
    x = 535,990,908,996/629,748
  6. Step 6: Final answer
    x = 851,119.67

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.