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Finding the Third Proportional to 293,920 and 456,240

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Solution

The third proportional to 293,920 and 456,240 is: 708,202.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,920 : 456,240 = 456,240 : x
  2. Step 2: Convert to fraction form
    293,920/456,240 = 456,240/x
  3. Step 3: Cross multiply
    293,920x = 456,240 × 456,240
  4. Step 4: Simplify right side
    293,920x = 208,154,937,600
  5. Step 5: Solve for x
    x = 208,154,937,600/293,920
  6. Step 6: Final answer
    x = 708,202.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.