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Finding the Third Proportional to 385,996 and 830,312

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Solution

The third proportional to 385,996 and 830,312 is: 1,786,075.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,996 : 830,312 = 830,312 : x
  2. Step 2: Convert to fraction form
    385,996/830,312 = 830,312/x
  3. Step 3: Cross multiply
    385,996x = 830,312 × 830,312
  4. Step 4: Simplify right side
    385,996x = 689,418,017,344
  5. Step 5: Solve for x
    x = 689,418,017,344/385,996
  6. Step 6: Final answer
    x = 1,786,075.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.