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Finding the Third Proportional to 612,528 and 983,367

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Solution

The third proportional to 612,528 and 983,367 is: 1,578,720.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,528 : 983,367 = 983,367 : x
  2. Step 2: Convert to fraction form
    612,528/983,367 = 983,367/x
  3. Step 3: Cross multiply
    612,528x = 983,367 × 983,367
  4. Step 4: Simplify right side
    612,528x = 967,010,656,689
  5. Step 5: Solve for x
    x = 967,010,656,689/612,528
  6. Step 6: Final answer
    x = 1,578,720.74

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.