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Finding the Third Proportional to 690,444 and 932,838

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Solution

The third proportional to 690,444 and 932,838 is: 1,260,329.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,444 : 932,838 = 932,838 : x
  2. Step 2: Convert to fraction form
    690,444/932,838 = 932,838/x
  3. Step 3: Cross multiply
    690,444x = 932,838 × 932,838
  4. Step 4: Simplify right side
    690,444x = 870,186,734,244
  5. Step 5: Solve for x
    x = 870,186,734,244/690,444
  6. Step 6: Final answer
    x = 1,260,329.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.