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Finding the Third Proportional to 245,332 and 500,984

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Solution

The third proportional to 245,332 and 500,984 is: 1,023,042.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,332 : 500,984 = 500,984 : x
  2. Step 2: Convert to fraction form
    245,332/500,984 = 500,984/x
  3. Step 3: Cross multiply
    245,332x = 500,984 × 500,984
  4. Step 4: Simplify right side
    245,332x = 250,984,968,256
  5. Step 5: Solve for x
    x = 250,984,968,256/245,332
  6. Step 6: Final answer
    x = 1,023,042.12

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.