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Finding the Third Proportional to 361,547 and 787,438

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Solution

The third proportional to 361,547 and 787,438 is: 1,715,015.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,547 : 787,438 = 787,438 : x
  2. Step 2: Convert to fraction form
    361,547/787,438 = 787,438/x
  3. Step 3: Cross multiply
    361,547x = 787,438 × 787,438
  4. Step 4: Simplify right side
    361,547x = 620,058,603,844
  5. Step 5: Solve for x
    x = 620,058,603,844/361,547
  6. Step 6: Final answer
    x = 1,715,015.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.