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Finding the Third Proportional to 350,672 and 756,712

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Solution

The third proportional to 350,672 and 756,712 is: 1,632,902.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,672 : 756,712 = 756,712 : x
  2. Step 2: Convert to fraction form
    350,672/756,712 = 756,712/x
  3. Step 3: Cross multiply
    350,672x = 756,712 × 756,712
  4. Step 4: Simplify right side
    350,672x = 572,613,050,944
  5. Step 5: Solve for x
    x = 572,613,050,944/350,672
  6. Step 6: Final answer
    x = 1,632,902.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.