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Finding the Third Proportional to 402,960 and 882,336

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Solution

The third proportional to 402,960 and 882,336 is: 1,931,995.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,960 : 882,336 = 882,336 : x
  2. Step 2: Convert to fraction form
    402,960/882,336 = 882,336/x
  3. Step 3: Cross multiply
    402,960x = 882,336 × 882,336
  4. Step 4: Simplify right side
    402,960x = 778,516,816,896
  5. Step 5: Solve for x
    x = 778,516,816,896/402,960
  6. Step 6: Final answer
    x = 1,931,995.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.