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Finding the Third Proportional to 466,430 and 720,258

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Solution

The third proportional to 466,430 and 720,258 is: 1,112,217.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,430 : 720,258 = 720,258 : x
  2. Step 2: Convert to fraction form
    466,430/720,258 = 720,258/x
  3. Step 3: Cross multiply
    466,430x = 720,258 × 720,258
  4. Step 4: Simplify right side
    466,430x = 518,771,586,564
  5. Step 5: Solve for x
    x = 518,771,586,564/466,430
  6. Step 6: Final answer
    x = 1,112,217.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.