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Finding the Third Proportional to 427,770 and 666,207

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Solution

The third proportional to 427,770 and 666,207 is: 1,037,547.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,770 : 666,207 = 666,207 : x
  2. Step 2: Convert to fraction form
    427,770/666,207 = 666,207/x
  3. Step 3: Cross multiply
    427,770x = 666,207 × 666,207
  4. Step 4: Simplify right side
    427,770x = 443,831,766,849
  5. Step 5: Solve for x
    x = 443,831,766,849/427,770
  6. Step 6: Final answer
    x = 1,037,547.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.