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Finding the Third Proportional to 332,294 and 711,838

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Solution

The third proportional to 332,294 and 711,838 is: 1,524,894.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,294 : 711,838 = 711,838 : x
  2. Step 2: Convert to fraction form
    332,294/711,838 = 711,838/x
  3. Step 3: Cross multiply
    332,294x = 711,838 × 711,838
  4. Step 4: Simplify right side
    332,294x = 506,713,338,244
  5. Step 5: Solve for x
    x = 506,713,338,244/332,294
  6. Step 6: Final answer
    x = 1,524,894.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.