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Finding the Third Proportional to 371,779 and 797,522

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Solution

The third proportional to 371,779 and 797,522 is: 1,710,804.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,779 : 797,522 = 797,522 : x
  2. Step 2: Convert to fraction form
    371,779/797,522 = 797,522/x
  3. Step 3: Cross multiply
    371,779x = 797,522 × 797,522
  4. Step 4: Simplify right side
    371,779x = 636,041,340,484
  5. Step 5: Solve for x
    x = 636,041,340,484/371,779
  6. Step 6: Final answer
    x = 1,710,804.91

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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.