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Finding the Third Proportional to 305,487 and 670,746

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Solution

The third proportional to 305,487 and 670,746 is: 1,472,731.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,487 : 670,746 = 670,746 : x
  2. Step 2: Convert to fraction form
    305,487/670,746 = 670,746/x
  3. Step 3: Cross multiply
    305,487x = 670,746 × 670,746
  4. Step 4: Simplify right side
    305,487x = 449,900,196,516
  5. Step 5: Solve for x
    x = 449,900,196,516/305,487
  6. Step 6: Final answer
    x = 1,472,731.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.