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Finding the Third Proportional to 388,404 and 830,776

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Solution

The third proportional to 388,404 and 830,776 is: 1,776,986.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,404 : 830,776 = 830,776 : x
  2. Step 2: Convert to fraction form
    388,404/830,776 = 830,776/x
  3. Step 3: Cross multiply
    388,404x = 830,776 × 830,776
  4. Step 4: Simplify right side
    388,404x = 690,188,762,176
  5. Step 5: Solve for x
    x = 690,188,762,176/388,404
  6. Step 6: Final answer
    x = 1,776,986.75

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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.