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Finding the Third Proportional to 500,688 and 1,113,324

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Solution

The third proportional to 500,688 and 1,113,324 is: 2,475,574.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,688 : 1,113,324 = 1,113,324 : x
  2. Step 2: Convert to fraction form
    500,688/1,113,324 = 1,113,324/x
  3. Step 3: Cross multiply
    500,688x = 1,113,324 × 1,113,324
  4. Step 4: Simplify right side
    500,688x = 1,239,490,328,976
  5. Step 5: Solve for x
    x = 1,239,490,328,976/500,688
  6. Step 6: Final answer
    x = 2,475,574.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.