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Finding the Third Proportional to 642,320 and 980,240

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Solution

The third proportional to 642,320 and 980,240 is: 1,495,937.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,320 : 980,240 = 980,240 : x
  2. Step 2: Convert to fraction form
    642,320/980,240 = 980,240/x
  3. Step 3: Cross multiply
    642,320x = 980,240 × 980,240
  4. Step 4: Simplify right side
    642,320x = 960,870,457,600
  5. Step 5: Solve for x
    x = 960,870,457,600/642,320
  6. Step 6: Final answer
    x = 1,495,937.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.