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Finding the Third Proportional to 308,547 and 466,110

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Solution

The third proportional to 308,547 and 466,110 is: 704,134.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,547 : 466,110 = 466,110 : x
  2. Step 2: Convert to fraction form
    308,547/466,110 = 466,110/x
  3. Step 3: Cross multiply
    308,547x = 466,110 × 466,110
  4. Step 4: Simplify right side
    308,547x = 217,258,532,100
  5. Step 5: Solve for x
    x = 217,258,532,100/308,547
  6. Step 6: Final answer
    x = 704,134.32

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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.