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Finding the Third Proportional to 402,144 and 883,776

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Solution

The third proportional to 402,144 and 883,776 is: 1,942,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,144 : 883,776 = 883,776 : x
  2. Step 2: Convert to fraction form
    402,144/883,776 = 883,776/x
  3. Step 3: Cross multiply
    402,144x = 883,776 × 883,776
  4. Step 4: Simplify right side
    402,144x = 781,060,018,176
  5. Step 5: Solve for x
    x = 781,060,018,176/402,144
  6. Step 6: Final answer
    x = 1,942,239.64

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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.