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Finding the Third Proportional to 310,569.19 and 682,192.13

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Solution

The third proportional to 310,569.19 and 682,192.13 is: 1,498,494.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,569.19 : 682,192.13 = 682,192.13 : x
  2. Step 2: Convert to fraction form
    310,569.19/682,192.13 = 682,192.13/x
  3. Step 3: Cross multiply
    310,569.19x = 682,192.13 × 682,192.13
  4. Step 4: Simplify right side
    310,569.19x = 465,386,095,412.02
  5. Step 5: Solve for x
    x = 465,386,095,412.02/310,569.19
  6. Step 6: Final answer
    x = 1,498,494.10

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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.