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Finding the Third Proportional to 287,004 and 626,462

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Solution

The third proportional to 287,004 and 626,462 is: 1,367,418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,004 : 626,462 = 626,462 : x
  2. Step 2: Convert to fraction form
    287,004/626,462 = 626,462/x
  3. Step 3: Cross multiply
    287,004x = 626,462 × 626,462
  4. Step 4: Simplify right side
    287,004x = 392,454,637,444
  5. Step 5: Solve for x
    x = 392,454,637,444/287,004
  6. Step 6: Final answer
    x = 1,367,418.70

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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.