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Finding the Third Proportional to 287,429 and 604,630

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Solution

The third proportional to 287,429 and 604,630 is: 1,271,887.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,429 : 604,630 = 604,630 : x
  2. Step 2: Convert to fraction form
    287,429/604,630 = 604,630/x
  3. Step 3: Cross multiply
    287,429x = 604,630 × 604,630
  4. Step 4: Simplify right side
    287,429x = 365,577,436,900
  5. Step 5: Solve for x
    x = 365,577,436,900/287,429
  6. Step 6: Final answer
    x = 1,271,887.79

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.